Details

analyze568.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	74.8%	0.3%	0%	24.9%	0%	8
0%	0%	74.8%	0.3%	0%	24.9%	0%	9
0%	0%	74.8%	0.3%	0%	24.9%	0%	10
0%	0%	74.8%	0.3%	0%	24.9%	0%	11
0%	0%	74.8%	0.3%	0%	24.9%	0%	12

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.1s (27.3%)

Results

1.1s	4686×	body	256	invalid
978.0ms	1639×	body	1024	valid
940.0ms	5098×	body	256	valid
503.0ms	739×	body	2048	valid
281.0ms	1198×	body	256	infinite
260.0ms	780×	body	512	valid

Bogosity

preprocess102.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1624×	`rational.json-simplify-35`
966×	`rational.json-simplify-1`
912×	`rational.json-simplify-51`
912×	`rational.json-simplify-44`
796×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	912
1	255	912
2	507	912
3	911	912
4	1620	912
5	2987	912
6	5274	912
7	6458	912
8	7998	912
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
2
3
2
4
5

Call 2

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (.f64 x t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (.f64 z x) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 x (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (.f64 y t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (.f64 z t) 3)))) (/.f64 y (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 a t) 3)))) (/.f64 z (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 b t) 3)))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z a) 3)))) (/.f64 t (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z b) 3)))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 b (.f64 a 3)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 y) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 y) (cos.f64 (-.f64 x (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (.f64 x t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (.f64 t (/.f64 x 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 t (/.f64 x 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (*.f64 t (/.f64 x 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (.f64 z x) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (.f64 x (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 t) (cos.f64 (-.f64 y (.f64 x (/.f64 z 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 t) (cos.f64 (-.f64 y (*.f64 x (/.f64 z 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 x (.f64 b 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (.f64 y t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (.f64 t (/.f64 y 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (.f64 y (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (*.f64 y (/.f64 t 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (.f64 y (/.f64 t 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (.f64 y (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 t (.f64 z (/.f64 y 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (*.f64 z (/.f64 y 3))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (.f64 z t) 3)))) (/.f64 y (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (*.f64 t (/.f64 z 3))))) (/.f64 (/.f64 y b) 3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 a (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 y 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (.f64 z (/.f64 t 3))))) (/.f64 y (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (.f64 z (/.f64 t 3))))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 a t) 3)))) (/.f64 z (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 a 3))))) (/.f64 z (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 t (/.f64 a 3)))))) (/.f64 z (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 (.f64 t (/.f64 a 3)) y)))) (/.f64 z (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 b t) 3)))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 b 3))))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 t (/.f64 b 3)))))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z a) 3)))) (/.f64 t (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 a (/.f64 z 3))))) (/.f64 t (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 a 3)))))) (/.f64 (/.f64 t 3) b))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 a 3)))))) (/.f64 (/.f64 t b) 3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 a (/.f64 z 3)))))) (/.f64 t (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z b) 3)))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 b (/.f64 z 3))))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 b 3))))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 b 3)))))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 b (.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 b (.f64 3 a)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 b (.f64 3 a)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 b (.f64 3 a)))

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify226.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2104×	`rational.json-simplify-52`
2020×	`rational.json-simplify-35`
1604×	`rational.json-simplify-1`
1576×	`rational.json-simplify-2`
958×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	38	57
2	72	57
3	124	57
4	223	57
5	402	57
6	883	57
7	1490	57
8	2704	57
9	3716	57
10	4131	57
11	5290	57
12	6091	57
13	6424	57
14	6663	57
15	7256	57
16	7299	57
17	7361	57

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))

eval2.0ms (0%)

Compiler: Compiled 139 to 90 computations (35.3% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	4	3	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	4	8

Error

23.0b

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	23.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
▶	23.3b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a 3) b))

Status

Error

Program

▶

23.3b

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))

▶

23.2b

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3))))) (/.f64 a (*.f64 3 b)))

▶

23.3b

(-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a 3) b))

Compiler

Compiled 75 to 57 computations (24% saved)

localize174.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 z (/.f64 t 3))
✓	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
✓	0.3b	(/.f64 (/.f64 a 3) b)
✓	25.9b	(cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))

Compiler

Compiled 90 to 54 computations (40% saved)

series14.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
1.0ms	a	@	inf	(/.f64 (/.f64 a 3) b)
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
1.0ms	z	@	0	(cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-simplify-35`
1166×	`bool.json-1`
1166×	`bool.json-2`
1112×	`rational.json-1`
1112×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	184	82
2	530	82
3	1319	82
4	3592	82

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))
(/.f64 (/.f64 a 3) b)
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
(*.f64 z (/.f64 t 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (/.f64 1/3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (/.f64 1/3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (/.f64 1/6 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (.f64 (/.f64 1/3 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (.f64 (/.f64 1 b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (.f64 1/3 (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 2/3) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 2/3) (.f64 (/.f64 1 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 a (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 a (neg.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 a 1/3) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 a (.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 a (/.f64 1/3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a b) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4/3) (/.f64 1 (.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 2 b)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4) (/.f64 1 (.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a -1/3) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 1 (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (/.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 a (/.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 a b) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 b) (/.f64 a 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 b) (.f64 a 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 b) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 b) 1/2) (.f64 a 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 b) 1/6) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (/.f64 1/2 b)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a -1/3) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 3 (neg.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (neg.f64 (.f64 3 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (+.f64 b b)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a 1/3) (+.f64 b b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b 4)) (.f64 a 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 b) (.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 b 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (/.f64 1/3 b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b 12)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 6) (/.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 3 (neg.f64 b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 a (/.f64 1/3 b)) (.f64 a (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 a (/.f64 1/3 b)) (*.f64 a (/.f64 1/3 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4)) (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 t 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (.f64 t 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 t 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z (.f64 t 1/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4)) (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 z (.f64 t 1/3)) (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 z (.f64 t 1/3)) (.f64 z (*.f64 t 1/3)))))))

simplify229.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1042×	`rational.json-simplify-35`
996×	`rational.json-simplify-51`
990×	`rational.json-simplify-1`
920×	`rational.json-simplify-46`
814×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	5302
1	573	5234
2	1284	5144
3	2897	5010
4	5381	5010
5	7066	5010

Stop Event

1×	node limit

Counts

206 → 164

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 (cos.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (.f64 (cos.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 1/6 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3)) (sqrt.f64 x))) (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1 y)))))
(.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1 y)))))
(.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1 y)))))
(.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1 y)))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 -1/162 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 -1/162 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
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Outputs
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(*.f64 1/3 (/.f64 a b))
(.f64 2 (/.f64 a (.f64 b 6)))
(*.f64 1/3 (/.f64 a b))
(.f64 2 (/.f64 (.f64 a (/.f64 1/3 b)) 2))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 a b) 2/3) 1/2)
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 a 4/3) (/.f64 1 (*.f64 b 4)))
(.f64 a (.f64 4/3 (/.f64 1 (*.f64 b 4))))
(.f64 a (.f64 4/3 (/.f64 1/4 b)))
(.f64 (/.f64 1/4 b) (.f64 a 4/3))
(.f64 (.f64 a (/.f64 2 b)) 1/6)
(.f64 1/6 (.f64 a (/.f64 2 b)))
(.f64 (/.f64 2 b) (.f64 1/6 a))
(.f64 (.f64 a 4) (/.f64 1 (*.f64 b 12)))
(.f64 a (.f64 4 (/.f64 1 (*.f64 b 12))))
(.f64 a (.f64 4 (/.f64 1/12 b)))
(*.f64 (/.f64 1/3 b) a)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 1 b) (.f64 a 1/3))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 a -1/3) (/.f64 -1 b))
(.f64 a (.f64 -1/3 (/.f64 -1 b)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 3 (neg.f64 b))))
(*.f64 1/3 (/.f64 a b))
(.f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))
(*.f64 1/3 (/.f64 a b))
(*.f64 2/3 (/.f64 a (+.f64 b b)))
(*.f64 1/3 (/.f64 a b))
(.f64 1/6 (.f64 a (/.f64 2 b)))
(.f64 (/.f64 2 b) (.f64 1/6 a))
(.f64 1/2 (.f64 (/.f64 a b) 2/3))
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 2 b) (/.f64 a 6))
(.f64 (/.f64 1/2 b) (.f64 a 2/3))
(.f64 2/3 (.f64 (/.f64 1/2 b) a))
(.f64 a (.f64 (/.f64 1/2 b) 2/3))
(*.f64 (/.f64 1/6 b) (+.f64 a a))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 1 b) 1/2) (*.f64 a 2/3))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 1 b) 1/6) (+.f64 a a))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 1/3 (/.f64 1/2 b)) (+.f64 a a))
(.f64 2/3 (.f64 (/.f64 1/2 b) a))
(.f64 a (.f64 (/.f64 1/2 b) 2/3))
(.f64 (/.f64 (.f64 a -1/3) b) -1)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 a (.f64 3 (neg.f64 b))) -1)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 a (neg.f64 (.f64 3 b))) -1)
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 a (+.f64 b b)) 2/3)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 (.f64 a 1/3) (+.f64 b b)) 2)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 1 (.f64 b 4)) (*.f64 a 4/3))
(.f64 a (.f64 4/3 (/.f64 1 (*.f64 b 4))))
(.f64 a (.f64 4/3 (/.f64 1/4 b)))
(.f64 (/.f64 1/4 b) (.f64 a 4/3))
(.f64 (/.f64 -1 b) (.f64 a -1/3))
(.f64 a (.f64 -1/3 (/.f64 -1 b)))
(.f64 (.f64 a -1/3) (/.f64 -1 b))
(.f64 (/.f64 a (.f64 b 6)) 2)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 (.f64 a (/.f64 1/3 b)) 2) 2)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 1 (.f64 b 12)) (*.f64 a 4))
(.f64 a (.f64 4 (/.f64 1 (*.f64 b 12))))
(.f64 a (.f64 4 (/.f64 1/12 b)))
(*.f64 (/.f64 a 6) (/.f64 2 b))
(*.f64 (/.f64 2 b) (/.f64 a 6))
(.f64 (/.f64 1 (.f64 3 (neg.f64 b))) (neg.f64 a))
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))
(*.f64 1/3 (/.f64 a b))
(neg.f64 (/.f64 (*.f64 a -1/3) b))
(*.f64 1/3 (/.f64 a b))
(neg.f64 (/.f64 a (*.f64 3 (neg.f64 b))))
(*.f64 1/3 (/.f64 a b))
(neg.f64 (/.f64 a (neg.f64 (*.f64 3 b))))
(*.f64 1/3 (/.f64 a b))
(+.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) (sqrt.f64 x)) 0)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(+.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) (sqrt.f64 x)))
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) (sqrt.f64 x)) 0)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) (sqrt.f64 x)) 1)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 2)) 2)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(/.f64 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4) 4)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) (sqrt.f64 x)) 4)) 8)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4)) (.f64 2 (.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) 4))) 16)
(.f64 (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (*.f64 t z)))))
(+.f64 (.f64 z (.f64 t 1/3)) 0)
(.f64 1/3 (.f64 t z))
(+.f64 0 (.f64 z (.f64 t 1/3)))
(.f64 1/3 (.f64 t z))
(-.f64 (.f64 z (.f64 t 1/3)) 0)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 z (.f64 t 1/3)) 1)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 z (.f64 t 2/3)) 2)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 (.f64 z (*.f64 t 1/3)) 4) 4)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4)) 8)
(.f64 1/3 (.f64 t z))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4)) (.f64 2 (.f64 (.f64 z (.f64 t 1/3)) 4))) 16)
(.f64 1/3 (.f64 t z))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 z 3))
✓	0.2b	(/.f64 a (*.f64 3 b))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
✓	26.0b	(cos.f64 (-.f64 y (*.f64 t (/.f64 z 3))))

Compiler

Compiled 83 to 50 computations (39.8% saved)

series6.0ms (0%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
0.0ms	y	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
0.0ms	t	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
0.0ms	x	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational.json-simplify-35`
1092×	`bool.json-1`
1092×	`bool.json-2`
1038×	`rational.json-1`
1038×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	200	88
2	541	88
3	1296	88
4	3308	88
5	7778	88

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (*.f64 t (/.f64 z 3))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))))
(/.f64 a (*.f64 3 b))
(*.f64 t (/.f64 z 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8))) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (*.f64 2 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 a b) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 a b) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 a (.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (/.f64 a b) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/6 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 1/3 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a b) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 a b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (/.f64 1/6 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (.f64 (/.f64 1/3 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 a) (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a b) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4) (/.f64 1 (.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 2/3) (/.f64 2 (.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a -1/3) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 a b)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 b) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 a b) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 2 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (/.f64 1 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 a) (.f64 3 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a -1/3) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 b 4)) (.f64 a 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 b 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 a b) 1/3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b 12)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 b) (.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/6 b) (/.f64 1/6 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 a) (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (/.f64 a b) 1/3) (.f64 (/.f64 a b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (/.f64 a b) 1/3) (*.f64 (/.f64 a b) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t (.f64 z 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 t (.f64 z 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 t (.f64 z 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (.f64 z 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (.f64 z 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (+.f64 z (.f64 z 1/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 t (+.f64 z (.f64 z 1/3)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 t (+.f64 z (.f64 z 1/3)))) (.f64 2 (.f64 t (+.f64 z (.f64 z 1/3))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 t (.f64 z 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 t (.f64 z 1/3)) (.f64 t (.f64 z 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 t (.f64 z 1/3)) (.f64 t (*.f64 z 1/3)))))))

simplify219.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational.json-simplify-51`
1052×	`rational.json-simplify-44`
1042×	`rational.json-simplify-1`
888×	`rational.json-simplify-35`
804×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	5362
1	541	5308
2	1209	5308
3	2722	5134
4	5643	5134
5	7641	5134

Stop Event

1×	node limit

Counts

192 → 155

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
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(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (pow.f64 t 2))) (.f64 (sqrt.f64 x) -1/9))))
(+.f64 (.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (sqrt.f64 x) -1/9)) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (.f64 t z)) (.f64 (sqrt.f64 x) 2/3))))
(+.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (.f64 (sqrt.f64 x) -1/9))))
(+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (.f64 t (sqrt.f64 x)) 2/3)) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (.f64 (pow.f64 t 2) -1/9)) (*.f64 2 (cos.f64 y)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (.f64 z 2/3))) (.f64 2 (cos.f64 y)))) (.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (*.f64 (sqrt.f64 x) -1/9))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(+.f64 (+.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (pow.f64 t 2))) (.f64 (sqrt.f64 x) -1/9)))) (.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (.f64 (sqrt.f64 x) -1/81)))
(+.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (sqrt.f64 x) -1/9))) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) (pow.f64 t 3))) (.f64 (sqrt.f64 x) -1/81)) (.f64 (.f64 (sin.f64 y) (.f64 t z)) (.f64 (sqrt.f64 x) 2/3))))
(+.f64 (+.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (.f64 (sqrt.f64 x) -1/9)))) (.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (sqrt.f64 x) -1/81))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (.f64 z 2/3))) (.f64 2 (cos.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 t 3) (.f64 (.f64 (sin.f64 y) (pow.f64 z 3)) -1/81)) (.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (.f64 (pow.f64 t 2) -1/9)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (.f64 z 2/3))) (.f64 2 (cos.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 t 3) (.f64 (.f64 (sin.f64 y) (pow.f64 z 3)) -1/81)) (.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) -1/9)))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(+.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 0)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(+.f64 0 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(-.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 0)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))) 1)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 2 (/.f64 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))) 2))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 1 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2) 1/2)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 1/2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 2))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 (/.f64 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))) 2) 2)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(/.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 1)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))) 2) 2)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (*.f64 z 1/3)))) 4) 4)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4)) 8)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) 4))) 16)
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 0)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(+.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 0)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 2 (sqrt.f64 x))) 1)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 4)) 2)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8)) 4)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (*.f64 (sqrt.f64 x) 8))) 8)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8))) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (.f64 (sqrt.f64 x) 8)))) 16)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))))
(+.f64 (*.f64 (/.f64 a b) 1/3) 0)
(*.f64 1/3 (/.f64 a b))
(+.f64 0 (*.f64 (/.f64 a b) 1/3))
(*.f64 1/3 (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) 1/3) 0)
(*.f64 1/3 (/.f64 a b))
(.f64 2 (/.f64 a (.f64 b 6)))
(*.f64 1/3 (/.f64 a b))
(.f64 2 (/.f64 (.f64 (/.f64 a b) 1/3) 2))
(*.f64 1/3 (/.f64 a b))
(.f64 2 (.f64 (/.f64 1/6 b) a))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(.f64 a (.f64 1/3 (/.f64 1 b)))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 a b) 1/3) 1)
(*.f64 1/3 (/.f64 a b))
(.f64 1 (.f64 (/.f64 a b) 1/3))
(*.f64 1/3 (/.f64 a b))
(*.f64 (+.f64 a a) (/.f64 1/6 b))
(*.f64 1/3 (/.f64 a b))
(.f64 (+.f64 a a) (.f64 (/.f64 1/3 b) 1/2))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 a 1/3) (/.f64 1 b))
(*.f64 1/3 (/.f64 a b))
(.f64 -1 (/.f64 (neg.f64 a) (.f64 3 b)))
(*.f64 1/3 (/.f64 a b))
(.f64 -1 (/.f64 (.f64 a -1/3) b))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 a b) 2/3) 1/2)
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 a 4) (/.f64 1 (*.f64 b 12)))
(.f64 a (.f64 4 (/.f64 1/12 b)))
(.f64 4 (.f64 a (/.f64 1/12 b)))
(.f64 (.f64 a 2/3) (/.f64 2 (*.f64 b 4)))
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 a b) 1/3)
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 1/3 b) a)
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 a -1/3) (/.f64 -1 b))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 2 (/.f64 a b)) 1/6)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 1 b) (.f64 a 1/3))
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 1/6 b) (+.f64 a a))
(*.f64 1/3 (/.f64 a b))
(.f64 1/2 (.f64 (/.f64 a b) 2/3))
(*.f64 1/3 (/.f64 a b))
(.f64 1/6 (.f64 2 (/.f64 a b)))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))
(*.f64 1/3 (/.f64 a b))
(.f64 (.f64 1/3 (/.f64 1 b)) a)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 (neg.f64 a) (.f64 3 b)) -1)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 (.f64 a -1/3) b) -1)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 2 (.f64 b 4)) (*.f64 a 2/3))
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 a (.f64 b 6)) 2)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 (.f64 (/.f64 a b) 1/3) 2) 2)
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 1 (.f64 b 12)) (*.f64 a 4))
(.f64 (.f64 a 4) (/.f64 1 (*.f64 b 12)))
(.f64 a (.f64 4 (/.f64 1/12 b)))
(.f64 4 (.f64 a (/.f64 1/12 b)))
(.f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))
(*.f64 1/3 (/.f64 a b))
(.f64 (/.f64 -1 b) (.f64 a -1/3))
(*.f64 1/3 (/.f64 a b))
(*.f64 (+.f64 (/.f64 1/6 b) (/.f64 1/6 b)) a)
(*.f64 1/3 (/.f64 a b))
(neg.f64 (/.f64 (neg.f64 a) (*.f64 3 b)))
(*.f64 1/3 (/.f64 a b))
(neg.f64 (/.f64 (*.f64 a -1/3) b))
(*.f64 1/3 (/.f64 a b))
(+.f64 (.f64 t (.f64 z 1/3)) 0)
(.f64 1/3 (.f64 t z))
(+.f64 0 (.f64 t (.f64 z 1/3)))
(.f64 1/3 (.f64 t z))
(-.f64 (.f64 t (.f64 z 1/3)) 0)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 t (.f64 z 1/3)) 1)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 t (.f64 z 2/3)) 2)
(.f64 1/3 (.f64 t z))
(/.f64 (.f64 t (+.f64 z (.f64 z 1/3))) 4)
(.f64 (+.f64 z (.f64 1/3 z)) (/.f64 t 4))
(/.f64 (.f64 2 (.f64 t (+.f64 z (*.f64 z 1/3)))) 8)
(.f64 (+.f64 z (.f64 1/3 z)) (/.f64 t 4))
(/.f64 (+.f64 (.f64 2 (.f64 t (+.f64 z (.f64 z 1/3)))) (.f64 2 (.f64 t (+.f64 z (.f64 z 1/3))))) 16)
(.f64 (+.f64 z (.f64 1/3 z)) (/.f64 t 4))

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	25.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series4.0ms (0%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
0.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
0.0ms	y	@	0	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
0.0ms	x	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
0.0ms	y	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

rewrite161.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-simplify-35`
1192×	`bool.json-1`
1192×	`bool.json-2`
1142×	`rational.json-1`
1142×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	202	88
2	560	88
3	1364	88
4	3641	88

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
(/.f64 (*.f64 z t) 3)
(/.f64 a (*.f64 b 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (*.f64 2 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 t 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (.f64 t 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 z t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 z (.f64 t 2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z t) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z 1/3) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 t 2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 t 4)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 t t) (.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 t t) (.f64 1/3 (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z z) (.f64 t 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z z) (.f64 1/3 (.f64 t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 1/3) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z 2/3) (.f64 t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 2/3) (.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 z (.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z 1/2) (.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 1/2) (.f64 z 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z 1/6) (+.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 1/6) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 (.f64 z t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (.f64 z 1/2)) (+.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (.f64 t 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z t) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z (.f64 t 2/3)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/12 (.f64 z (.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 z (.f64 t 1/3)) (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 z (.f64 t 1/3)) (.f64 z (.f64 t 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a (.f64 3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (.f64 3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 a (.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 a (.f64 3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 a (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (/.f64 1/6 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (.f64 (/.f64 1/3 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 a (neg.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 a (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a b) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4) (/.f64 1 (.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 2 b)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 1 (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 2/3) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 a b) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 b) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 b) (.f64 a 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 a (/.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (neg.f64 (.f64 3 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 3 (neg.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 b 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 a (.f64 3 b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b 12)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 3 (neg.f64 b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (.f64 3 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 a (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 a (.f64 3 b)) (/.f64 a (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 a (.f64 3 b)) (/.f64 a (.f64 3 b)))))))

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1078×	`rational.json-simplify-51`
1072×	`rational.json-simplify-46`
1004×	`rational.json-simplify-43`
982×	`rational.json-simplify-53`
936×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	5659
1	594	5605
2	1276	5605
3	2959	5431
4	5493	5431
5	7261	5431

Stop Event

1×	node limit

Counts

213 → 184

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x)))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (.f64 1/3 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(+.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)
(+.f64 0 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))
(-.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 0)
(.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) 1)
(.f64 2 (/.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) 2))
(.f64 1 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))))
(.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2) 1/2)
(.f64 1/2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 2))
(.f64 (/.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) 2) 2)
(/.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 1)
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) 2) 2)
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (*.f64 t 1/3)))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) 4))) 16)
(+.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)) (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sqrt.f64 x)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 0)
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) 1)
(/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)) 2)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (*.f64 (sqrt.f64 x) 4))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 x) 4))))) 16)
(+.f64 (.f64 z (.f64 t 1/3)) 0)
(+.f64 0 (.f64 z (.f64 t 1/3)))
(-.f64 (.f64 z (.f64 t 1/3)) 0)
(.f64 z (.f64 t 1/3))
(.f64 t (.f64 z 1/3))
(.f64 (.f64 z t) 1/3)
(.f64 (.f64 z (*.f64 t 1/3)) 1)
(.f64 2 (/.f64 (.f64 z t) 6))
(.f64 2 (/.f64 (.f64 z (*.f64 t 2/3)) 4))
(.f64 1 (.f64 z (*.f64 t 1/3)))
(.f64 (.f64 (*.f64 z t) 2) 1/6)
(.f64 (.f64 z 1/3) t)
(.f64 (.f64 z (*.f64 t 2/3)) 1/2)
(.f64 (.f64 z (*.f64 t 4)) 1/12)
(.f64 (+.f64 t t) (.f64 z 1/6))
(.f64 (+.f64 t t) (.f64 1/3 (*.f64 z 1/2)))
(.f64 (+.f64 z z) (.f64 t 1/6))
(.f64 (+.f64 z z) (.f64 1/3 (*.f64 t 1/2)))
(.f64 (.f64 t 1/3) z)
(.f64 1/3 (.f64 z t))
(.f64 (.f64 z 2/3) (*.f64 t 1/2))
(.f64 (.f64 t 2/3) (*.f64 z 1/2))
(.f64 1/2 (.f64 z (*.f64 t 2/3)))
(.f64 (.f64 z 1/2) (*.f64 t 2/3))
(.f64 (.f64 t 1/2) (*.f64 z 2/3))
(.f64 (.f64 z 1/6) (+.f64 t t))
(.f64 (.f64 t 1/6) (+.f64 z z))
(.f64 1/6 (.f64 (*.f64 z t) 2))
(.f64 (.f64 1/3 (*.f64 z 1/2)) (+.f64 t t))
(.f64 (.f64 1/3 (*.f64 t 1/2)) (+.f64 z z))
(.f64 (/.f64 (.f64 z t) 6) 2)
(.f64 (/.f64 (.f64 z (*.f64 t 2/3)) 4) 2)
(.f64 1/12 (.f64 z (*.f64 t 4)))
(+.f64 (/.f64 a (*.f64 3 b)) 0)
(+.f64 0 (/.f64 a (*.f64 3 b)))
(-.f64 (/.f64 a (*.f64 3 b)) 0)
(.f64 2 (/.f64 a (.f64 b 6)))
(.f64 2 (/.f64 (/.f64 a (.f64 3 b)) 2))
(*.f64 a (/.f64 1/3 b))
(.f64 (/.f64 a (.f64 3 b)) 1)
(.f64 1 (/.f64 a (.f64 3 b)))
(*.f64 (+.f64 a a) (/.f64 1/6 b))
(.f64 (+.f64 a a) (.f64 (/.f64 1/3 b) 1/2))
(*.f64 (/.f64 a b) 1/3)
(.f64 -1 (/.f64 a (neg.f64 (.f64 3 b))))
(.f64 -1 (/.f64 a (.f64 3 (neg.f64 b))))
(.f64 (.f64 (/.f64 a b) 2/3) 1/2)
(.f64 (.f64 a 4) (/.f64 1 (*.f64 b 12)))
(.f64 (.f64 a (/.f64 2 b)) 1/6)
(.f64 (.f64 a 1/3) (/.f64 1 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 (/.f64 1/3 b) a)
(.f64 (/.f64 1 b) (.f64 a 1/3))
(.f64 (neg.f64 a) (/.f64 -1 (.f64 3 b)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 3 (neg.f64 b))))
(.f64 (.f64 a 2/3) (/.f64 1/2 b))
(.f64 1/2 (.f64 (/.f64 a b) 2/3))
(*.f64 (/.f64 1/6 b) (+.f64 a a))
(.f64 (/.f64 1/2 b) (.f64 a 2/3))
(.f64 1/6 (.f64 a (/.f64 2 b)))
(.f64 (.f64 (/.f64 1/3 b) 1/2) (+.f64 a a))
(.f64 (/.f64 a (neg.f64 (.f64 3 b))) -1)
(.f64 (/.f64 a (.f64 3 (neg.f64 b))) -1)
(.f64 (/.f64 a (.f64 b 6)) 2)
(.f64 (/.f64 (/.f64 a (.f64 3 b)) 2) 2)
(.f64 (/.f64 1 (.f64 b 12)) (*.f64 a 4))
(.f64 (/.f64 -1 (.f64 3 b)) (neg.f64 a))
(.f64 (/.f64 1 (.f64 3 (neg.f64 b))) (neg.f64 a))
(neg.f64 (/.f64 a (neg.f64 (*.f64 3 b))))
(neg.f64 (/.f64 a (*.f64 3 (neg.f64 b))))

Outputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(cos.f64 (.f64 t (.f64 1/3 z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 -1 (.f64 (neg.f64 (sin.f64 (.f64 t (.f64 1/3 z)))) y)))
(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) (neg.f64 y)))
(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 y)))
(+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 1/3 (*.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
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(+.f64 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (*.f64 -1/2 (pow.f64 y 2)))))
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(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (+.f64 (+.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) -1/2)) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 1/6 (pow.f64 y 3)))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) (neg.f64 y))))
(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (+.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 y)) (+.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) -1/2)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (*.f64 1/6 (pow.f64 y 3))))))
(+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2))))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2))))))
(+.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2)))))
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(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (+.f64 (+.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2))))) (.f64 -1/162 (.f64 (sin.f64 y) (*.f64 (pow.f64 z 3) (pow.f64 t 3))))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (+.f64 (.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/162)) (+.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 z 2) (*.f64 (cos.f64 y) (pow.f64 t 2)))))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 z 3) (.f64 -1/162 (*.f64 (sin.f64 y) (pow.f64 t 3)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2))))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2))))))
(+.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (+.f64 (+.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2))))) (.f64 -1/162 (.f64 (sin.f64 y) (*.f64 (pow.f64 z 3) (pow.f64 t 3))))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z))) (+.f64 (.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/162)) (+.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 z 2) (*.f64 (cos.f64 y) (pow.f64 t 2)))))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (pow.f64 t 2)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 z 3) (.f64 -1/162 (*.f64 (sin.f64 y) (pow.f64 t 3)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
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eval216.0ms (1.5%)

Compiler: Compiled 14552 to 8892 computations (38.9% saved)

prune136.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	490	13	503
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	492	14	506

Error

17.0b

Counts

506 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.0b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (/.f64 a (*.f64 3 b)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))) (.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 3 b)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 y)))) (/.f64 a (.f64 b 3)))
▶	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 t 1/3) z)))) (/.f64 a (*.f64 b 3)))
✓	23.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 a (*.f64 b 3)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
▶	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y))) (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) -1/18))))))) (/.f64 (/.f64 a 3) b))
▶	23.2b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 (/.f64 a b) 1/3))
▶	18.5b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))

Compiler

Compiled 755 to 569 computations (24.6% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.2b	(/.f64 a (*.f64 b 3))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series8.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms	a	@	0	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2102×	`bool.json-1`
2102×	`bool.json-2`
1270×	`rational.json-simplify-35`
938×	`rational.json-1`
938×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	159	60
2	438	60
3	1086	60
4	2978	60
5	7099	60

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8))) (*.f64 2 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 a (/.f64 1/3 b))) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))))))

simplify320.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational.json-simplify-35`
1240×	`rational.json-simplify-45`
1080×	`rational.json-simplify-2`
1060×	`rational.json-simplify-26`
866×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	3014
1	221	2906
2	442	2846
3	971	2806
4	2612	2806
5	3686	2806
6	4526	2806
7	5808	2806
8	7162	2806
9	7812	2806

Stop Event

1×	node limit

Counts

82 → 79

Calls

Call 1

Inputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) 0)
(+.f64 0 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 x) (cos.f64 y)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) 0)
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) 1)
(/.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 4)) 2)
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 8)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 8))) (.f64 2 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 8)))) 16)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 0)
(+.f64 0 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))
(+.f64 -1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 a (/.f64 1/3 b)))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
(.f64 2 (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 2))
(.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 1)
(.f64 1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))
(.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 1/2)
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(.f64 (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 2) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 1)
(/.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) 2)
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4))) 16)
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))

Outputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (*.f64 (sqrt.f64 x) -1)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (*.f64 (sqrt.f64 x) -1))))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) 1/12)))
(+.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 y 2))) (.f64 (sqrt.f64 x) (+.f64 2 (*.f64 1/12 (pow.f64 y 4)))))
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(+.f64 -1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 a (/.f64 1/3 b)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 2 (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 1/2)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(.f64 (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 2) 2)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) 2)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4) 4)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -2)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 4)) 8)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))) 4))) 16)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
✓	0.1b	(*.f64 (sqrt.f64 x) (cos.f64 y))
	0.3b	(/.f64 (/.f64 a 3) b)

Compiler

Compiled 49 to 24 computations (51% saved)

series3.0ms (0%)

Counts

2 → 49

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
0.0ms	x	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
0.0ms	x	@	-inf	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
0.0ms	y	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-simplify-35`
1088×	`bool.json-1`
1088×	`bool.json-2`
1034×	`rational.json-1`
1034×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	166	54
2	493	54
3	1237	54
4	3364	54

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (cos.f64 y))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))))))

simplify313.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1928×	`rational.json-simplify-35`
1536×	`rational.json-simplify-1`
1332×	`rational.json-simplify-2`
804×	`rational.json-simplify-50`
716×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	3113
1	245	3107
2	492	2741
3	1226	2701
4	2471	2701
5	3191	2701
6	3669	2701
7	4184	2701
8	4919	2701
9	5713	2701
10	6085	2701
11	6851	2701
12	7296	2701
13	7889	2701

Stop Event

1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)
(+.f64 0 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)
(/.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 1)
(/.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) 2)
(/.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 8)) 16)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 0)
(+.f64 0 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))
(+.f64 -1 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 2 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 2))
(.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 1)
(.f64 1 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))))
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2))))
(.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))) 1/2)
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2))) -1)
(.f64 1/2 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))))
(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 2) 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 1)
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b)))) 2)
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))) -1)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4))) 16)
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))

Outputs
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2)))
(+.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 x) -1/2)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 x) 1/24))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4))) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 x) 1/24))) (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 x) -1/720))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2)) (+.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4)))) (.f64 -1/720 (.f64 (sqrt.f64 x) (pow.f64 y 6)))))
(+.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 x) -1/2))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 x) -1/2))) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) (.f64 -1/720 (pow.f64 y 6))) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2))))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) 2) (.f64 (/.f64 a b) 1/3))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 (sqrt.f64 x) 2) (-.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) -1) (.f64 (/.f64 a b) 1/3)))
(+.f64 (.f64 (sqrt.f64 x) 2) (-.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 a b) 1/3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 x) 1/12))) (-.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) -1) (.f64 (/.f64 a b) 1/3)))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x)))) (-.f64 (.f64 (sqrt.f64 x) (.f64 1/12 (pow.f64 y 4))) (*.f64 (/.f64 a b) 1/3)))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (-.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (.f64 (/.f64 a b) 1/3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 4) 1/12) (+.f64 2 (neg.f64 (pow.f64 y 2))))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) -1) (+.f64 (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 x) 1/12)))) (-.f64 (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 x) -1/360)) (.f64 (/.f64 a b) 1/3)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 6) -1/360)) (+.f64 (+.f64 (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x)))) (-.f64 (.f64 (sqrt.f64 x) (.f64 1/12 (pow.f64 y 4))) (*.f64 (/.f64 a b) 1/3))))
(+.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (-.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 6) -1/360)) (.f64 (/.f64 a b) 1/3))))
(+.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 y 2))) (-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/360) (+.f64 2 (.f64 (pow.f64 y 4) 1/12)))) (*.f64 (/.f64 a b) 1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 a b) 1/3))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
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(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
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(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 0 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 0)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 1)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) 2)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 4)) 4)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 8) 8)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 8)) 16)
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 0)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 0 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 -1 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 2 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 2))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 1 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))) 1/2)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2))) -1)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 1/2 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b)))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 2) 2)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b)))) 2)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))) -1)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4) 4)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (*.f64 a (/.f64 1/3 b))) 4)) 8)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)))) -2)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (.f64 a (/.f64 1/3 b))) 4))) 16)
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (*.f64 a (/.f64 1/3 b)))

localize128.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (/.f64 t 3))
	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))
✓	0.3b	(*.f64 (/.f64 a b) 1/3)
	25.9b	(cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))

Compiler

Compiled 91 to 52 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 (/.f64 a b) 1/3)
0.0ms	b	@	-inf	(*.f64 (/.f64 a b) 1/3)
0.0ms	a	@	inf	(*.f64 (/.f64 a b) 1/3)
0.0ms	a	@	-inf	(*.f64 (/.f64 a b) 1/3)
0.0ms	b	@	inf	(*.f64 (/.f64 a b) 1/3)

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`bool.json-1`
1746×	`bool.json-2`
1700×	`rational.json-1`
1700×	`rational.json-2`
1476×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	223	13
3	538	13
4	1383	13
5	4789	13

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 (/.f64 a b) 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a b) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 a b) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 a b) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 a b) 4/3)) (*.f64 2 (*.f64 (/.f64 a b) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 a b) 1/3) (*.f64 (/.f64 a b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 a b) 1/3) (*.f64 (/.f64 a b) 1/3))))))

simplify270.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational.json-simplify-35`
1510×	`rational.json-simplify-59`
1180×	`rational.json-simplify-61`
1000×	`rational.json-simplify-2`
642×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	416
1	60	416
2	133	416
3	333	416
4	1018	416
5	2272	416
6	2950	416
7	3315	416
8	3693	416
9	5086	416
10	5367	416
11	5642	416
12	6068	416

Stop Event

1×	node limit

Counts

32 → 9

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(+.f64 (*.f64 (/.f64 a b) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 a b) 1/3))
(-.f64 (*.f64 (/.f64 a b) 1/3) 0)
(/.f64 (*.f64 (/.f64 a b) 1/3) 1)
(/.f64 (*.f64 (/.f64 a b) 2/3) 2)
(/.f64 (*.f64 (/.f64 a b) 4/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 a b) 4/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 a b) 4/3)) (.f64 2 (.f64 (/.f64 a b) 4/3))) 16)

Outputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(+.f64 (*.f64 (/.f64 a b) 1/3) 0)
(*.f64 1/3 (/.f64 a b))
(+.f64 0 (*.f64 (/.f64 a b) 1/3))
(*.f64 1/3 (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) 1/3) 0)
(*.f64 1/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) 1/3) 1)
(*.f64 1/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) 2/3) 2)
(*.f64 1/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) 4/3) 4)
(*.f64 1/3 (/.f64 a b))
(/.f64 (.f64 2 (.f64 (/.f64 a b) 4/3)) 8)
(*.f64 1/3 (/.f64 a b))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 a b) 4/3)) (.f64 2 (.f64 (/.f64 a b) 4/3))) 16)
(*.f64 1/3 (/.f64 a b))

localize85.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
✓	0.9b	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
✓	2.8b	(.f64 t (.f64 z (sin.f64 y)))

Compiler

Compiled 100 to 42 computations (58% saved)

series15.0ms (0.1%)

Counts

3 → 44

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
1.0ms	t	@	0	(.f64 t (.f64 z (sin.f64 y)))
1.0ms	y	@	0	(.f64 t (.f64 z (sin.f64 y)))
1.0ms	y	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
1.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`bool.json-1`
1472×	`bool.json-2`
1428×	`rational.json-1`
1428×	`rational.json-2`
1428×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	183	89
2	489	89
3	1068	89
4	2323	89
5	4992	89

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

Inputs
(.f64 t (.f64 z (sin.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) 2/3)) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 t (*.f64 z (sin.f64 y))) 2) (/.f64 (*.f64 t (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 (sin.f64 y) (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 t (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 t (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 t (*.f64 z (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) (*.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) 2) (/.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 4/3))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))) (*.f64 t (*.f64 z (*.f64 (sin.f64 y) 1/3))))))))

simplify378.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`rational.json-simplify-35`
1762×	`rational.json-simplify-1`
1434×	`rational.json-simplify-53`
1156×	`rational.json-simplify-51`
684×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	3282
1	353	3278
2	814	3212
3	1946	2940
4	3556	2940
5	4476	2940
6	5108	2940
7	5758	2940
8	6595	2940
9	7080	2940
10	7222	2940
11	7621	2940
12	7847	2940

Stop Event

1×	node limit

Counts

76 → 116

Calls

Call 1

Inputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (*.f64 t z)))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 -1/15120 (.f64 (pow.f64 y 7) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (.f64 t z))))))
(+.f64 (.f64 t (.f64 z (sin.f64 y))) 0)
(+.f64 (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))) (.f64 t (.f64 (.f64 z (sin.f64 y)) 2/3)))
(+.f64 0 (.f64 t (.f64 z (sin.f64 y))))
(+.f64 (.f64 t (.f64 (.f64 z (sin.f64 y)) 2/3)) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))))
(+.f64 (/.f64 (.f64 t (.f64 z (sin.f64 y))) 2) (/.f64 (.f64 t (.f64 z (sin.f64 y))) 2))
(-.f64 (.f64 t (.f64 z (sin.f64 y))) 0)
(/.f64 (.f64 t (.f64 z (sin.f64 y))) 1)
(/.f64 (.f64 t (.f64 (sin.f64 y) (+.f64 z z))) 2)
(/.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) (.f64 t 4)))) (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))))) 32)
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))) 0)
(+.f64 0 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))))) (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))) 0)
(/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 4)) 2)
(/.f64 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8)))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8))))) 32)
(+.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 0)
(+.f64 0 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))
(+.f64 (/.f64 (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))) 2) (/.f64 (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))) 2))
(-.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 0)
(/.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 1)
(/.f64 (.f64 t (.f64 (*.f64 z (sin.f64 y)) 2/3)) 2)
(/.f64 (.f64 (.f64 t (*.f64 z (sin.f64 y))) 4/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t (*.f64 z (sin.f64 y))) 4/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3)))) 32)

Outputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (*.f64 t z) (pow.f64 y 3))))
(+.f64 (.f64 y (.f64 t z)) (.f64 t (.f64 (*.f64 z (pow.f64 y 3)) -1/6)))
(.f64 (.f64 t z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3))) (.f64 1/120 (.f64 t (.f64 z (pow.f64 y 5))))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 t (.f64 (.f64 z (pow.f64 y 3)) -1/6)) (.f64 (.f64 t z) (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 t (.f64 -1/6 (.f64 z (pow.f64 y 3)))) (.f64 (.f64 t z) (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 t (.f64 z (pow.f64 y 5)))) (.f64 -1/5040 (.f64 t (*.f64 z (pow.f64 y 7)))))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 t (.f64 (.f64 z (pow.f64 y 3)) -1/6)) (+.f64 (.f64 (.f64 t z) (.f64 1/120 (pow.f64 y 5))) (.f64 (.f64 t z) (*.f64 (pow.f64 y 7) -1/5040)))))
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(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/6 (pow.f64 y 3)))) (.f64 (.f64 t z) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))) (.f64 (.f64 t z) (*.f64 -1/5040 (pow.f64 y 7))))
(+.f64 (.f64 (.f64 t z) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 2 (sqrt.f64 x))
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(.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3))))
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(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (neg.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 y (.f64 (.f64 t z) 2/3))) (*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (pow.f64 y 2)) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
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(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)))) (.f64 -1/9 (.f64 t (.f64 (.f64 z (pow.f64 y 3)) (sqrt.f64 x))))))
(+.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (.f64 (.f64 t z) (.f64 (*.f64 (pow.f64 y 3) (sqrt.f64 x)) -1/9))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 (.f64 t z) 2/3)) (.f64 t (.f64 (.f64 z (pow.f64 y 3)) -1/9)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (.f64 z (pow.f64 y 3)) -1/9)) (.f64 y (.f64 (.f64 t z) 2/3)))))
(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (pow.f64 y 3)) -1/9)) (+.f64 2 (neg.f64 (pow.f64 y 2))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 x) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))
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(.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 x) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) (*.f64 2 (cos.f64 y))))
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(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))
(.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x)))
(.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 z (sin.f64 y))) 2/3))
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(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 x) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))
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(.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) (*.f64 2 (cos.f64 y))))
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(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
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(.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) (*.f64 2 (cos.f64 y))))
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(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))) 1)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 4)) 2)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)) 4)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8))) 8)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (*.f64 (sqrt.f64 x) 8)))) 16)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8)))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3)))) (.f64 (sqrt.f64 x) 8))))) 32)
(.f64 (+.f64 (cos.f64 y) (.f64 t (.f64 (.f64 z (sin.f64 y)) 1/3))) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 t (.f64 z (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 z (.f64 t (*.f64 1/3 (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y))))))
(+.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 0)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(+.f64 0 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))))
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(+.f64 (/.f64 (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))) 2) (/.f64 (.f64 t (.f64 z (.f64 (sin.f64 y) 1/3))) 2))
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(-.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 0)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (.f64 t (.f64 z (*.f64 (sin.f64 y) 1/3))) 1)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (.f64 t (.f64 (*.f64 z (sin.f64 y)) 2/3)) 2)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (.f64 (.f64 t (*.f64 z (sin.f64 y))) 4/3) 4)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3)) 8)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t (*.f64 z (sin.f64 y))) 4/3))) 16)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) 4/3)))) 32)
(.f64 z (.f64 (*.f64 1/3 (sin.f64 y)) t))
(.f64 t (.f64 z (*.f64 1/3 (sin.f64 y))))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(.f64 (.f64 t z) (*.f64 1/3 (sin.f64 y)))

localize85.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 3 b))
✓	0.4b	(*.f64 (sqrt.f64 x) 2/3)
✓	2.5b	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
✓	4.9b	(.f64 (.f64 t z) (sin.f64 y))

Compiler

Compiled 109 to 43 computations (60.6% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	t	@	0	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
1.0ms	t	@	-inf	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
1.0ms	x	@	-inf	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
1.0ms	x	@	0	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
1.0ms	z	@	0	(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`bool.json-1`
1364×	`bool.json-2`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	141	61
2	387	61
3	892	61
4	2063	61
5	4759	61

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(.f64 (.f64 t z) (sin.f64 y))
(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))
(*.f64 (sqrt.f64 x) 2/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (/.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 t (/.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) 4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 t (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 t (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 t (*.f64 z (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 1/3)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 t z) (*.f64 (sqrt.f64 x) 4/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 8/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 8/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 8/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 8/3)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 8/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))) (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))) (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 x) 2/3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) 1/3) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 x) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8/3))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 x) 2/3) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 x) 2/3) (*.f64 (sqrt.f64 x) 2/3))))))

simplify267.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1848×	`rational.json-simplify-1`
1616×	`rational.json-simplify-53`
1146×	`rational.json-simplify-51`
1004×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	2798
1	303	2798
2	730	2762
3	2082	2698
4	4728	2698
5	5518	2698
6	5910	2698
7	6273	2698
8	6876	2698
9	7611	2698
10	7959	2698

Stop Event

1×	node limit

Counts

102 → 80

Calls

Call 1

Inputs
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
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(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
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(-.f64 (.f64 t (.f64 z (sin.f64 y))) 0)
(/.f64 (.f64 t (.f64 z (sin.f64 y))) 1)
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 t t))) 2)
(/.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 t z) (.f64 (sin.f64 y) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) (*.f64 (sin.f64 y) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) (.f64 (sin.f64 y) 4)))) (.f64 2 (.f64 2 (.f64 (.f64 t z) (.f64 (sin.f64 y) 4))))) 32)
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(/.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (.f64 (sqrt.f64 x) 2/3))) 1)
(/.f64 (.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 4/3))) 2)
(/.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 8/3)) 4)
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(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 8/3)))) 16)
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Outputs
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(.f64 z (.f64 (sin.f64 y) t))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) t))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) t))
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(.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 2/3 (sqrt.f64 x)))
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(+.f64 (*.f64 (sqrt.f64 x) 2/3) 0)
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(*.f64 2/3 (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 x) 2/3) 0)
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(/.f64 (*.f64 (sqrt.f64 x) 2/3) 1)
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(*.f64 2/3 (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) 8/3) 4)
(*.f64 2/3 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) 8/3)) 8)
(*.f64 2/3 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 x) 8/3))) 16)
(*.f64 2/3 (sqrt.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8/3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8/3)))) 32)
(*.f64 2/3 (sqrt.f64 x))

eval234.0ms (1.6%)

Compiler: Compiled 16856 to 9114 computations (45.9% saved)

prune344.0ms (2.3%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	651	11	662
Fresh	3	5	8
Picked	0	1	1
Done	2	3	5
Total	656	20	676

Error

16.5b

Counts

676 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.0b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (/.f64 a (*.f64 3 b)))
	44.3b	(-.f64 (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
▶	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 y)))) (/.f64 a (.f64 b 3)))
✓	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 t 1/3) z)))) (/.f64 a (*.f64 b 3)))
✓	23.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 a (*.f64 b 3)))
▶	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
▶	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	38.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))
	38.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (/.f64 a (.f64 b 3)))
✓	23.2b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 (/.f64 a b) 1/3))
	27.6b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
	27.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	44.3b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	28.8b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
	18.8b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
▶	43.0b	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
▶	37.6b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 805 to 615 computations (23.6% saved)

localize113.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(/.f64 1/3 b)
✓	0.5b	(*.f64 (/.f64 1/3 b) a)

Compiler

Compiled 48 to 27 computations (43.8% saved)

series3.0ms (0%)

Counts

3 → 61

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/.f64 1/3 b)
0.0ms	b	@	0	(/.f64 1/3 b)
0.0ms	y	@	inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
0.0ms	b	@	-inf	(/.f64 1/3 b)
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`bool.json-1`
1662×	`bool.json-2`
1586×	`rational.json-1`
1586×	`rational.json-2`
1266×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	158	59
2	413	59
3	912	59
4	2037	59
5	5210	59

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(*.f64 (/.f64 1/3 b) a)
(/.f64 1/3 b)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 b) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/3 b) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 6 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 b (/.f64 3 a)) (*.f64 b (/.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 6 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b (/.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 b (/.f64 3 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 b (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (+.f64 (/.f64 b a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 (*.f64 b (/.f64 2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (+.f64 (*.f64 b (/.f64 2 a)) (*.f64 b (/.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 b 4) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (*.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 2/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 6 (/.f64 b a)) (*.f64 6 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 b 12) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (/.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 (*.f64 b 12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a 4)) (+.f64 (*.f64 b 12) (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a 4)) (*.f64 8 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (*.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (neg.f64 (*.f64 b 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) (*.f64 2 (/.f64 4/3 (/.f64 b a)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 a b) (/.f64 a b)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 (*.f64 b 3)) (neg.f64 (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 a 4)) (*.f64 b 3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 3) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a a) b) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (+.f64 b b)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 1/2) (*.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 a)) (*.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 1/3 b) a) (*.f64 (/.f64 1/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 1/3 b) a) (*.f64 (/.f64 1/3 b) a))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/3 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 3 (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/6 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 3) (/.f64 1 (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 3) (/.f64 2 (*.f64 2 (*.f64 b (*.f64 b 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 6) (/.f64 1/2 (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 6) (/.f64 1 (*.f64 2 (*.f64 b (*.f64 b 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/3 b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 b) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 b (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (+.f64 b b) (*.f64 2 (*.f64 b (*.f64 b 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1/3 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 3/2) (/.f64 2 (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (+.f64 b b) (*.f64 b (*.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 b (*.f64 2 (*.f64 b (*.f64 b 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/3 b) (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/3 b) (/.f64 1/3 b))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 (/.f64 1/3 b) a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 (/.f64 1/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 1/3 b) a)) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 (/.f64 1/3 b) a) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (/.f64 1/3 b) a) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)))))))

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-2`
1016×	`rational.json-simplify-51`
1016×	`rational.json-simplify-53`
1000×	`rational.json-simplify-35`
770×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	3732
1	566	3726
2	1415	3602
3	4324	3572
4	6525	3572
5	7836	3572

Stop Event

1×	node limit

Counts

150 → 143

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 (/.f64 1/3 b) a) 0)
(+.f64 0 (*.f64 (/.f64 1/3 b) a))
(-.f64 (*.f64 (/.f64 1/3 b) a) 0)
(/.f64 1/3 (/.f64 b a))
(/.f64 1/3 (*.f64 (/.f64 b a) 1))
(/.f64 a (*.f64 b 3))
(/.f64 (*.f64 (/.f64 1/3 b) a) 1)
(/.f64 2 (*.f64 6 (/.f64 b a)))
(/.f64 2 (+.f64 (.f64 b (/.f64 3 a)) (.f64 b (/.f64 3 a))))
(/.f64 2 (.f64 (.f64 6 (/.f64 b a)) 1))
(/.f64 1 (*.f64 b (/.f64 3 a)))
(/.f64 1 (.f64 (.f64 b (/.f64 3 a)) 1))
(/.f64 2/3 (*.f64 b (/.f64 2 a)))
(/.f64 2/3 (+.f64 (/.f64 b a) (/.f64 b a)))
(/.f64 2/3 (.f64 (.f64 b (/.f64 2 a)) 1))
(/.f64 4/3 (+.f64 (.f64 b (/.f64 2 a)) (.f64 b (/.f64 2 a))))
(/.f64 4/3 (/.f64 (*.f64 b 4) a))
(/.f64 (+.f64 a a) (*.f64 b 6))
(/.f64 (*.f64 a (/.f64 2/3 b)) 2)
(/.f64 4 (+.f64 (.f64 6 (/.f64 b a)) (.f64 6 (/.f64 b a))))
(/.f64 4 (/.f64 (*.f64 b 12) a))
(/.f64 (/.f64 4/3 (/.f64 b a)) 4)
(/.f64 (.f64 a 4) (.f64 b 12))
(/.f64 (.f64 a 4) (.f64 (*.f64 b 12) 1))
(/.f64 (.f64 2 (.f64 a 4)) (+.f64 (.f64 b 12) (.f64 b 12)))
(/.f64 (.f64 2 (.f64 a 4)) (.f64 8 (.f64 b 3)))
(/.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) 8)
(/.f64 (/.f64 a b) 3)
(/.f64 (.f64 a 1/2) (.f64 b 3/2))
(/.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))
(/.f64 (neg.f64 a) (.f64 (neg.f64 (.f64 b 3)) 1))
(/.f64 (+.f64 (.f64 2 (/.f64 4/3 (/.f64 b a))) (.f64 2 (/.f64 4/3 (/.f64 b a)))) 16)
(/.f64 (+.f64 (/.f64 a b) (/.f64 a b)) 6)
(/.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 (.f64 b 3)) (neg.f64 (.f64 b 3))))
(/.f64 (/.f64 (.f64 2 (.f64 a 4)) (*.f64 b 3)) 8)
(/.f64 (/.f64 a 3) b)
(/.f64 (/.f64 (+.f64 a a) b) 6)
(/.f64 (/.f64 a (+.f64 b b)) 3/2)
(/.f64 (/.f64 a 1/2) (*.f64 b 6))
(/.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 6)))
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 b 3))
(+.f64 (/.f64 1/3 b) 0)
(+.f64 0 (/.f64 1/3 b))
(-.f64 (/.f64 1/3 b) 0)
(.f64 b (/.f64 3 (.f64 b (*.f64 b 9))))
(*.f64 (/.f64 1/3 b) 1)
(*.f64 2 (/.f64 1/6 b))
(*.f64 1 (/.f64 1/3 b))
(.f64 (.f64 (/.f64 1/3 b) 2) 1/2)
(.f64 (.f64 b 3) (/.f64 1 (.f64 b (.f64 b 9))))
(.f64 (.f64 b 3) (/.f64 2 (.f64 2 (.f64 b (*.f64 b 9)))))
(.f64 (.f64 b 6) (/.f64 1/2 (.f64 b (.f64 b 9))))
(.f64 (.f64 b 6) (/.f64 1 (.f64 2 (.f64 b (*.f64 b 9)))))
(*.f64 4 (/.f64 (/.f64 1/3 b) 4))
(.f64 (.f64 (/.f64 1/3 b) 4) 1/4)
(.f64 3 (/.f64 b (.f64 b (*.f64 b 9))))
(.f64 3 (/.f64 (+.f64 b b) (.f64 2 (.f64 b (.f64 b 9)))))
(.f64 1/2 (.f64 (/.f64 1/3 b) 2))
(.f64 (.f64 b 3/2) (/.f64 2 (.f64 b (.f64 b 9))))
(.f64 3/2 (/.f64 (+.f64 b b) (.f64 b (*.f64 b 9))))
(.f64 6 (/.f64 b (.f64 2 (.f64 b (.f64 b 9)))))
(*.f64 (/.f64 1/6 b) 2)
(+.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (neg.f64 (*.f64 (/.f64 1/3 b) a)))
(+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 0)
(+.f64 0 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)))
(+.f64 -1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 (/.f64 1/3 b) a) 1)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 (/.f64 1/3 b) a))))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a)))
(+.f64 (neg.f64 (.f64 (/.f64 1/3 b) a)) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (*.f64 (/.f64 1/3 b) a) 1)) -1)
(.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1/2))
(.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 1)
(.f64 1 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)))
(.f64 -1 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))
(.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))) 1/2)
(.f64 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(.f64 4 (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4))
(.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))))
(.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1/2) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1)
(/.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a))) 2)
(/.f64 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4))) 16)
(/.f64 (/.f64 (.f64 2 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -1) 2)
(neg.f64 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))

Outputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 -1 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)))) (-.f64 (.f64 -1 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (.f64 1/3 (/.f64 a b))))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 1/12 (pow.f64 y 4)))) (-.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (-.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/12 (pow.f64 y 4)) (+.f64 2 (neg.f64 (pow.f64 y 2))))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4))))) (-.f64 (.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6))) (.f64 1/3 (/.f64 a b))))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/12 (pow.f64 y 4))) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))))) (-.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 6) -1/360)) (*.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (-.f64 (.f64 (sqrt.f64 x) (.f64 -1/360 (pow.f64 y 6))) (.f64 1/3 (/.f64 a b)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (+.f64 2 (.f64 1/12 (pow.f64 y 4))))) (-.f64 (.f64 a (/.f64 -1/3 b)) (*.f64 (sqrt.f64 x) (pow.f64 y 2))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
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(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a))))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1/2) 2)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 1)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (.f64 2 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a))) 2)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4) 4)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -2)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 1/3 b) a)) 4)) 8)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 (/.f64 1/3 b) a)) 4))) 16)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(/.f64 (/.f64 (.f64 2 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) -1) 2)
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))
(neg.f64 (-.f64 (.f64 (/.f64 1/3 b) a) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))
(-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b 6))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series33.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	b	@	0	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	0	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	-inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	inf	(*.f64 -1/3 (/.f64 a b))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`bool.json-1`
1748×	`bool.json-2`
1702×	`rational.json-1`
1702×	`rational.json-2`
1476×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	223	13
3	538	13
4	1381	13
5	4798	13

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 a b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/3 (/.f64 a b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 a b) -4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 a b) -4/3)) (*.f64 2 (*.f64 (/.f64 a b) -4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/3 (/.f64 a b)) (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/3 (/.f64 a b)) (*.f64 -1/3 (/.f64 a b)))))))

simplify356.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3996×	`rational.json-simplify-35`
2632×	`rational.json-simplify-43`
2280×	`rational.json-simplify-51`
996×	`rational.json-simplify-2`
648×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	59	104
2	123	104
3	301	104
4	764	104
5	2544	104
6	3188	104
7	3482	104
8	3778	104
9	4111	104
10	4436	104
11	4458	104
12	4466	104
13	4466	104
14	4908	104
15	5383	104
16	5864	104
17	5899	104
18	5907	104

Stop Event

1×	node limit

Counts

8 → 9

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/3 (/.f64 a b)) 0)
(+.f64 0 (*.f64 -1/3 (/.f64 a b)))
(-.f64 (*.f64 -1/3 (/.f64 a b)) 0)
(/.f64 (*.f64 -1/3 (/.f64 a b)) 1)
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(/.f64 (*.f64 (/.f64 a b) -4/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 a b) -4/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 a b) -4/3)) (.f64 2 (.f64 (/.f64 a b) -4/3))) 16)

Outputs
(+.f64 (*.f64 -1/3 (/.f64 a b)) 0)
(*.f64 -1/3 (/.f64 a b))
(+.f64 0 (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 -1/3 (/.f64 a b)) 0)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 (/.f64 a b)) 1)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) -4/3) 4)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (.f64 2 (.f64 (/.f64 a b) -4/3)) 8)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 a b) -4/3)) (.f64 2 (.f64 (/.f64 a b) -4/3))) 16)
(*.f64 -1/3 (/.f64 a b))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
0.0ms	y	@	0	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
0.0ms	x	@	inf	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
0.0ms	x	@	0	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
0.0ms	y	@	inf	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational.json-simplify-35`
1338×	`bool.json-1`
1338×	`bool.json-2`
1272×	`rational.json-1`
1272×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	101	21
2	282	21
3	596	21
4	1208	21
5	2657	21
6	5393	21

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 (cos.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))))))

simplify524.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3150×	`rational.json-simplify-35`
2318×	`rational.json-simplify-2`
1186×	`rational.json-simplify-53`
1182×	`rational.json-simplify-1`
782×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	611
1	131	605
2	266	575
3	580	555
4	1862	555
5	3419	555
6	4280	555
7	4498	555
8	4681	555
9	4884	555
10	5103	555
11	5712	555
12	6293	555
13	6614	555
14	6725	555
15	6991	555
16	7212	555
17	7401	555
18	7574	555
19	7734	555
20	7894	555

Stop Event

1×	node limit

Counts

23 → 30

Calls

Call 1

Inputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 0)
(+.f64 0 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 0)
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 1)
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 4)) 2)
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 8)) 4)
(/.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16)))) 64)

Outputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)))))
(+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) 1/12)))
(+.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 2 (*.f64 1/12 (pow.f64 y 4)))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (pow.f64 y 2)) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/12 (pow.f64 y 4)) (+.f64 2 (neg.f64 (pow.f64 y 2)))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)))) (.f64 -1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6)))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) 1/12)) (+.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 6) -1/360))))
(+.f64 (.f64 (pow.f64 y 2) (neg.f64 (sqrt.f64 x))) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (*.f64 -1/360 (pow.f64 y 6)))))
(+.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 y 2))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (+.f64 2 (.f64 1/12 (pow.f64 y 4))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 0)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 0 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 0)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) 1)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 4)) 2)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 8)) 4)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16) 8)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 16)) 16)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16))) 32)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 16)))) 64)
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 1/3 (.f64 t z))
✓	29.6b	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 70 to 39 computations (44.3% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
0.0ms	t	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
0.0ms	t	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
0.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))

rewrite167.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`bool.json-1`
1238×	`bool.json-2`
1184×	`rational.json-1`
1184×	`rational.json-2`
1184×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	139	63
2	361	63
3	774	63
4	1712	63
5	4212	63
6	7807	63

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(cos.f64 (.f64 1/3 (.f64 t z)))
(.f64 1/3 (.f64 t z))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 1/3 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1/2) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/3 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 1/3 (*.f64 t z))) (cos.f64 (*.f64 1/3 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 1/3 (*.f64 t z))) (cos.f64 (*.f64 1/3 (*.f64 t z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 t z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 1/3 (*.f64 t z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (*.f64 t z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t z) 1/6) (*.f64 (*.f64 t z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (*.f64 t z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 t (*.f64 z -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 t (*.f64 z -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/3 (*.f64 t z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) -2/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 t z) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 t z) 4/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (*.f64 t z) 4/3))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 t z) 4/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) 4/3))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 t z) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 t z) 4/3))) (neg.f64 (neg.f64 (*.f64 (*.f64 t z) 4/3)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 t (*.f64 z -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (*.f64 t z)) (*.f64 1/3 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (*.f64 t z)) (*.f64 1/3 (*.f64 t z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 8)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sqrt.f64 x) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 2 (sqrt.f64 x))))))))

simplify193.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1786×	`rational.json-simplify-35`
1250×	`rational.json-simplify-2`
1236×	`rational.json-simplify-1`
1008×	`rational.json-simplify-52`
972×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2386
1	334	2386
2	826	2326
3	2141	2286
4	4401	2286
5	5571	2286
6	7478	2286

Stop Event

1×	node limit

Counts

82 → 83

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)
(+.f64 0 (cos.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/2) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/2))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)
(.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 1)
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/2))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 4))
(.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))
(.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/2) 2)
(/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4)))) 32)
(+.f64 (.f64 1/3 (.f64 t z)) 0)
(+.f64 0 (.f64 1/3 (.f64 t z)))
(+.f64 -1 (+.f64 (.f64 1/3 (.f64 t z)) 1))
(+.f64 (+.f64 (.f64 1/3 (.f64 t z)) 1) -1)
(+.f64 (.f64 (.f64 t z) 1/6) (.f64 (.f64 t z) 1/6))
(-.f64 (.f64 1/3 (.f64 t z)) 0)
(-.f64 0 (.f64 t (.f64 z -1/3)))
(-.f64 1 (+.f64 1 (.f64 t (.f64 z -1/3))))
(-.f64 (+.f64 (.f64 1/3 (.f64 t z)) 1) 1)
(/.f64 (.f64 1/3 (.f64 t z)) 1)
(/.f64 (.f64 t (.f64 z -1/3)) -1)
(/.f64 (.f64 t (.f64 z 2/3)) 2)
(/.f64 (.f64 (.f64 t z) 4/3) 4)
(/.f64 (.f64 (.f64 t z) -2/3) -2)
(/.f64 (.f64 2 (.f64 (*.f64 t z) 4/3)) 8)
(/.f64 (neg.f64 (.f64 (.f64 t z) 4/3)) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3))) 16)
(/.f64 (.f64 2 (neg.f64 (.f64 (*.f64 t z) 4/3))) -8)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3)))) 32)
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3))) (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3)))) 8)
(neg.f64 (.f64 t (.f64 z -1/3)))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 4)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (*.f64 (sqrt.f64 x) 8))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8))))) 32)

Outputs
1
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1
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(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(-.f64 (.f64 1/3 (.f64 t z)) 0)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(-.f64 0 (.f64 t (.f64 z -1/3)))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(-.f64 1 (+.f64 1 (.f64 t (.f64 z -1/3))))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 t z)) 1) 1)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 1/3 (.f64 t z)) 1)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 t (.f64 z -1/3)) -1)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 t (.f64 z 2/3)) 2)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 (.f64 t z) 4/3) 4)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 (.f64 t z) -2/3) -2)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 2 (.f64 (*.f64 t z) 4/3)) 8)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (neg.f64 (.f64 (.f64 t z) 4/3)) -4)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3))) 16)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (.f64 2 (neg.f64 (.f64 (*.f64 t z) 4/3))) -8)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3))) 4)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 t z) 4/3)))) 32)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3))) (neg.f64 (neg.f64 (.f64 (.f64 t z) 4/3)))) 8)
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(neg.f64 (.f64 t (.f64 z -1/3)))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 t (.f64 z 1/3))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 0)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 0)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 1)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 4)) 2)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)) 4)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (*.f64 (sqrt.f64 x) 8))) 8)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)))) 16)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 8))))) 32)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3))))

localize123.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 z -1/3)
✓	2.4b	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
✓	29.4b	(cos.f64 (.f64 t (.f64 z -1/3)))
✓	29.9b	(sin.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 127 to 74 computations (41.7% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
1.0ms	y	@	0	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
0.0ms	t	@	0	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
0.0ms	t	@	0	(sin.f64 (.f64 1/3 (.f64 t z)))
0.0ms	t	@	-inf	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`bool.json-1`
1336×	`bool.json-2`
1288×	`rational.json-1`
1288×	`rational.json-2`
1288×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	155	64
2	423	64
3	916	64
4	2065	64
5	4574	64

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

Inputs
(sin.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
(*.f64 z -1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (.f64 (.f64 t z) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 (.f64 (.f64 t z) -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (.f64 (.f64 t z) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/3 (.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (sin.f64 (.f64 (.f64 t z) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (.f64 t z) -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (.f64 (.f64 t z) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (.f64 1/3 (.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 (.f64 1/3 (*.f64 t z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (.f64 1/3 (.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 2) (/.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 z -2/3) 4) (/.f64 (.f64 z -2/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z 2/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 z -4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 z 2/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 z -2/3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 z -4/3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 z -4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 z 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 z 2/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 z -2/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 z -4/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 z -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 z -1/3) (.f64 z -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 z -1/3) (.f64 z -1/3))))))

simplify279.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1748×	`rational.json-simplify-35`
1446×	`rational.json-simplify-53`
1324×	`rational.json-simplify-2`
880×	`rational.json-simplify-51`
864×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	3300
1	465	3300
2	1019	3252
3	2296	3240
4	4155	3240
5	5248	3240
6	6085	3240
7	6612	3240
8	6964	3240
9	7250	3240
10	7620	3240

Stop Event

1×	node limit

Counts

144 → 121

Calls

Call 1

Inputs
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 1/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 1/29160 (.f64 y (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (.f64 1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 1/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 1/29160 (.f64 y (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(+.f64 (.f64 -1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (.f64 1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(+.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 0)
(+.f64 0 (sin.f64 (.f64 1/3 (.f64 t z))))
(+.f64 -1 (-.f64 1 (sin.f64 (.f64 (.f64 t z) -1/3))))
(+.f64 (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) (/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2))
(+.f64 (-.f64 1 (sin.f64 (.f64 (.f64 t z) -1/3))) -1)
(-.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 0)
(-.f64 0 (sin.f64 (.f64 (.f64 t z) -1/3)))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 1)
(.f64 1 (sin.f64 (.f64 1/3 (*.f64 t z))))
(.f64 -1 (sin.f64 (.f64 (*.f64 t z) -1/3)))
(.f64 2 (/.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 2))
(.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2) 1/2)
(.f64 1/2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 2))
(.f64 (/.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 2) 2)
(.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) -1)
(/.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) 4)) 8)
(/.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) 4))) 16)
(neg.f64 (sin.f64 (.f64 (.f64 t z) -1/3)))
(+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)
(+.f64 0 (cos.f64 (.f64 1/3 (.f64 t z))))
(+.f64 -1 (-.f64 1 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3)))))
(+.f64 (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) (/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 0)
(-.f64 0 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))
(.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 1)
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 2 (/.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 2))
(.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2) 1/2)
(.f64 1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))
(.f64 (/.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 2) 2)
(.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (*.f64 t z) -1/3))) -1)
(/.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) 4))) 16)
(/.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))) -1)
(neg.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 2) (/.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) 2))
(-.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y) 0)
(/.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (+.f64 y y)) 2)
(/.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (*.f64 y 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y 4)))) 16)
(+.f64 (*.f64 z -1/3) 0)
(+.f64 0 (*.f64 z -1/3))
(+.f64 -1 (-.f64 1 (*.f64 1/3 z)))
(+.f64 (/.f64 (.f64 z -2/3) 4) (/.f64 (.f64 z -2/3) 4))
(-.f64 (*.f64 z -1/3) 0)
(-.f64 0 (*.f64 1/3 z))
(/.f64 (*.f64 z -1/3) 1)
(/.f64 (*.f64 1/3 z) -1)
(/.f64 (*.f64 z -2/3) 2)
(/.f64 (*.f64 z -4/3) 4)
(/.f64 (*.f64 z 2/3) -2)
(/.f64 (.f64 2 (.f64 z -4/3)) 8)
(/.f64 (.f64 2 (.f64 z 2/3)) -4)
(/.f64 (neg.f64 (*.f64 z -2/3)) -2)
(/.f64 (neg.f64 (*.f64 z -4/3)) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 z -4/3))) 16)
(/.f64 (neg.f64 (*.f64 z 2/3)) 2)
(/.f64 (neg.f64 (.f64 2 (.f64 z 2/3))) 4)
(/.f64 (neg.f64 (neg.f64 (*.f64 z -2/3))) 2)
(/.f64 (neg.f64 (neg.f64 (*.f64 z -4/3))) 4)
(neg.f64 (*.f64 1/3 z))

Outputs
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(+.f64 (+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 1 (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(+.f64 (+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 1 (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(cos.f64 (.f64 1/3 (.f64 t z)))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
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eval180.0ms (1.2%)

Compiler: Compiled 10710 to 6764 computations (36.8% saved)

prune138.0ms (0.9%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	449	10	459
Fresh	3	8	11
Picked	1	0	1
Done	0	8	8
Total	453	26	479

Error

16.3b

Counts

479 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.6b	(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
✓	27.0b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (/.f64 a (*.f64 3 b)))
	44.3b	(-.f64 (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 -1 (-.f64 1 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (neg.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3)))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (+.f64 -1 (-.f64 1 (.f64 1/3 z))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 y)))) (/.f64 a (.f64 b 3)))
✓	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
▶	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 1 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
✓	23.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
✓	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
✓	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	38.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))
✓	23.2b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 (/.f64 a b) 1/3))
▶	27.6b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
	27.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	27.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
▶	44.3b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	28.8b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
▶	18.8b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
	54.0b	(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
✓	43.0b	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
	52.1b	(*.f64 2 (sqrt.f64 x))
✓	37.6b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 1009 to 778 computations (22.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
	0.1b	(*.f64 (sqrt.f64 x) (cos.f64 y))
	0.3b	(/.f64 1/3 b)
✓	0.5b	(*.f64 a (/.f64 1/3 b))

Compiler

Compiled 56 to 24 computations (57.1% saved)

series2.0ms (0%)

Counts

2 → 61

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
0.0ms	x	@	inf	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
0.0ms	y	@	0	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
0.0ms	x	@	0	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
0.0ms	y	@	inf	(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`bool.json-1`
1576×	`bool.json-2`
1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	139	46
2	374	46
3	840	46
4	1904	46
5	4923	46

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(*.f64 a (/.f64 1/3 b))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 a 3) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 a 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 a 3) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a 3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b (/.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 b (/.f64 3 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (/.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (+.f64 (/.f64 b a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 (/.f64 (+.f64 b b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 6 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 b (/.f64 3 a)) (*.f64 b (/.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 6 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (+.f64 (/.f64 (+.f64 b b) a) (/.f64 (+.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 b 4) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (*.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (*.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 6 (/.f64 b a)) (*.f64 6 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 b 12) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 (*.f64 b 12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (/.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a 4)) (+.f64 (*.f64 b 12) (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a 4)) (*.f64 8 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (*.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (neg.f64 (*.f64 b 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) (*.f64 2 (/.f64 4/3 (/.f64 b a)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 a b) (/.f64 a b)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 (*.f64 b 3)) (neg.f64 (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a a) b) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 a 4)) (*.f64 b 3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 3) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (+.f64 b b)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 1/2) (*.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 a)) (*.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 a 3) b) (/.f64 (/.f64 a 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 a 3) b) (/.f64 (/.f64 a 3) b))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 a 3) b)) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))))))

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-1`
1126×	`rational.json-simplify-2`
878×	`rational.json-simplify-44`
812×	`rational.json-simplify-35`
794×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2885
1	456	2885
2	1210	2885
3	3918	2865
4	5684	2865
5	6815	2865

Stop Event

1×	node limit

Counts

127 → 95

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (sqrt.f64 x) (*.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (/.f64 (/.f64 a 3) b) 0)
(+.f64 0 (/.f64 (/.f64 a 3) b))
(-.f64 (/.f64 (/.f64 a 3) b) 0)
(/.f64 a (*.f64 b 3))
(/.f64 1/3 (/.f64 b a))
(/.f64 1/3 (*.f64 (/.f64 b a) 1))
(/.f64 (/.f64 (/.f64 a 3) b) 1)
(/.f64 1 (*.f64 b (/.f64 3 a)))
(/.f64 1 (.f64 (.f64 b (/.f64 3 a)) 1))
(/.f64 2/3 (/.f64 (+.f64 b b) a))
(/.f64 2/3 (+.f64 (/.f64 b a) (/.f64 b a)))
(/.f64 2/3 (*.f64 (/.f64 (+.f64 b b) a) 1))
(/.f64 2 (*.f64 6 (/.f64 b a)))
(/.f64 2 (+.f64 (.f64 b (/.f64 3 a)) (.f64 b (/.f64 3 a))))
(/.f64 2 (.f64 (.f64 6 (/.f64 b a)) 1))
(/.f64 4/3 (+.f64 (/.f64 (+.f64 b b) a) (/.f64 (+.f64 b b) a)))
(/.f64 4/3 (/.f64 (*.f64 b 4) a))
(/.f64 (+.f64 a a) (*.f64 b 6))
(/.f64 (/.f64 a (*.f64 b 3/2)) 2)
(/.f64 4 (+.f64 (.f64 6 (/.f64 b a)) (.f64 6 (/.f64 b a))))
(/.f64 4 (/.f64 (*.f64 b 12) a))
(/.f64 (.f64 a 4) (.f64 b 12))
(/.f64 (.f64 a 4) (.f64 (*.f64 b 12) 1))
(/.f64 (/.f64 4/3 (/.f64 b a)) 4)
(/.f64 (.f64 2 (.f64 a 4)) (+.f64 (.f64 b 12) (.f64 b 12)))
(/.f64 (.f64 2 (.f64 a 4)) (.f64 8 (.f64 b 3)))
(/.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) 8)
(/.f64 (/.f64 a b) 3)
(/.f64 (.f64 a 1/2) (.f64 b 3/2))
(/.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))
(/.f64 (neg.f64 a) (.f64 (neg.f64 (.f64 b 3)) 1))
(/.f64 (+.f64 (.f64 2 (/.f64 4/3 (/.f64 b a))) (.f64 2 (/.f64 4/3 (/.f64 b a)))) 16)
(/.f64 (+.f64 (/.f64 a b) (/.f64 a b)) 6)
(/.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 (.f64 b 3)) (neg.f64 (.f64 b 3))))
(/.f64 (/.f64 (+.f64 a a) b) 6)
(/.f64 (/.f64 (.f64 2 (.f64 a 4)) (*.f64 b 3)) 8)
(/.f64 (/.f64 a 3) b)
(/.f64 (/.f64 a (+.f64 b b)) 3/2)
(/.f64 (/.f64 a 1/2) (*.f64 b 6))
(/.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 6)))
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 b 3))
(+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (/.f64 (/.f64 a 3) b)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 0)
(+.f64 0 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))
(+.f64 -1 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)))
(+.f64 (neg.f64 (/.f64 (/.f64 a 3) b)) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)) -1)
(.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)
(.f64 1 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))
(.f64 -1 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y))))
(.f64 2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 1/2)
(.f64 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y))) -1)
(.f64 4 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2) 2)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 2)
(/.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))) -1)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) 8)
(/.f64 (.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y)))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))) 16)
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y)))) -1) 2)
(neg.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))))

Outputs
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(-.f64 (sqrt.f64 x) (*.f64 1/3 (/.f64 a b)))
(-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2)))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2)) (-.f64 (sqrt.f64 x) (*.f64 1/3 (/.f64 a b))))
(+.f64 (-.f64 (sqrt.f64 x) (.f64 a (/.f64 1/3 b))) (.f64 (sqrt.f64 x) (*.f64 -1/2 (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (sqrt.f64 x) (.f64 1/24 (.f64 (sqrt.f64 x) (pow.f64 y 4)))) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (*.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2)) (-.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) 1/24))) (*.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4))) (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b)))))
(+.f64 (sqrt.f64 x) (-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (.f64 a (/.f64 1/3 b))))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (pow.f64 y 2))) (+.f64 (sqrt.f64 x) (.f64 1/24 (.f64 (sqrt.f64 x) (pow.f64 y 4))))) (-.f64 (.f64 -1/720 (.f64 (sqrt.f64 x) (pow.f64 y 6))) (*.f64 1/3 (/.f64 a b))))
(+.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 4) 1/24)) (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 2) -1/2)))) (-.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 y 6) -1/720)) (*.f64 1/3 (/.f64 a b))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 -1/2 (pow.f64 y 2))) (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/24 (pow.f64 y 4))) (.f64 (sqrt.f64 x) (.f64 -1/720 (pow.f64 y 6))))) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 1/24 (pow.f64 y 4)))) (-.f64 (sqrt.f64 x) (.f64 a (/.f64 1/3 b)))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) (.f64 -1/720 (pow.f64 y 6))) (-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(-.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (/.f64 (/.f64 a 3) b) 0)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(+.f64 0 (/.f64 (/.f64 a 3) b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(-.f64 (/.f64 (/.f64 a 3) b) 0)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 a (*.f64 b 3))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 1/3 (/.f64 b a))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 1/3 (*.f64 (/.f64 b a) 1))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 (/.f64 a 3) b) 1)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 1 (*.f64 b (/.f64 3 a)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 1 (.f64 (.f64 b (/.f64 3 a)) 1))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 2/3 (/.f64 (+.f64 b b) a))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 2/3 (+.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 2/3 (*.f64 (/.f64 (+.f64 b b) a) 1))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 2 (*.f64 6 (/.f64 b a)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 2 (+.f64 (.f64 b (/.f64 3 a)) (.f64 b (/.f64 3 a))))
(*.f64 1/3 (/.f64 a b))
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(/.f64 2 (.f64 (.f64 6 (/.f64 b a)) 1))
(*.f64 1/3 (/.f64 a b))
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(/.f64 4/3 (+.f64 (/.f64 (+.f64 b b) a) (/.f64 (+.f64 b b) a)))
(*.f64 1/3 (/.f64 a b))
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(/.f64 4/3 (/.f64 (*.f64 b 4) a))
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(/.f64 (+.f64 a a) (*.f64 b 6))
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(/.f64 (/.f64 a (*.f64 b 3/2)) 2)
(*.f64 1/3 (/.f64 a b))
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(/.f64 4 (+.f64 (.f64 6 (/.f64 b a)) (.f64 6 (/.f64 b a))))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 4 (/.f64 (*.f64 b 12) a))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (.f64 a 4) (.f64 b 12))
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(/.f64 (.f64 a 4) (.f64 (*.f64 b 12) 1))
(*.f64 1/3 (/.f64 a b))
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(/.f64 (/.f64 4/3 (/.f64 b a)) 4)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (.f64 2 (.f64 a 4)) (+.f64 (.f64 b 12) (.f64 b 12)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (.f64 2 (.f64 a 4)) (.f64 8 (.f64 b 3)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (*.f64 2 (/.f64 4/3 (/.f64 b a))) 8)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 a b) 3)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (.f64 a 1/2) (.f64 b 3/2))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (neg.f64 a) (.f64 (neg.f64 (.f64 b 3)) 1))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (+.f64 (.f64 2 (/.f64 4/3 (/.f64 b a))) (.f64 2 (/.f64 4/3 (/.f64 b a)))) 16)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (+.f64 (/.f64 a b) (/.f64 a b)) 6)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 (.f64 b 3)) (neg.f64 (.f64 b 3))))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 (+.f64 a a) b) 6)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 (.f64 2 (.f64 a 4)) (*.f64 b 3)) 8)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 a 3) b)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 a (+.f64 b b)) 3/2)
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (/.f64 a 1/2) (*.f64 b 6))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 6)))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 b 3))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(+.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (/.f64 (/.f64 a 3) b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 0)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(+.f64 0 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(+.f64 -1 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(+.f64 (neg.f64 (/.f64 (/.f64 a 3) b)) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (-.f64 (/.f64 (/.f64 a 3) b) 1)) -1)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 1 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 -1 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y))))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 1/2)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y))) -1)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 4 (/.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 1/4)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 1/2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(.f64 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1/2) 2)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 1)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 2) 2)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))) -1)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4) 4)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) 8)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y)))) -2)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4)) (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) 4))) 16)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(/.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (/.f64 a 3) b) (.f64 (sqrt.f64 x) (cos.f64 y)))) -1) 2)
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
(neg.f64 (-.f64 (/.f64 (/.f64 a 3) b) (*.f64 (sqrt.f64 x) (cos.f64 y))))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
✓	0.3b	(*.f64 (/.f64 a b) -2/3)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(*.f64 (/.f64 a b) -2/3)
0.0ms	a	@	0	(*.f64 (/.f64 a b) -2/3)
0.0ms	a	@	-inf	(*.f64 (/.f64 a b) -2/3)
0.0ms	b	@	inf	(*.f64 (/.f64 a b) -2/3)
0.0ms	b	@	-inf	(*.f64 (/.f64 a b) -2/3)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`bool.json-1`
1784×	`bool.json-2`
1728×	`rational.json-1`
1392×	`bool.json-3`
790×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	96	26
2	314	26
3	785	26
4	2129	26
5	5770	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(*.f64 (/.f64 a b) -2/3)
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a b) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a b) -1/3) (*.f64 (/.f64 a b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a b) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 a b) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) -4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b) -8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 a b) -8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 a b) -8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 a b) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 a b) -2/3) (*.f64 (/.f64 a b) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 a b) -2/3) (*.f64 (/.f64 a b) -2/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a b) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 a b) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 -2/3 (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 1/2 (*.f64 -2/3 (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (/.f64 1 b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (*.f64 a (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) -2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 a b) -2/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 -2/3 (/.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 -1/3 (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) -4/3) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 1/2 b)) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a a) b) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b) -8/3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (*.f64 -2/3 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 -2/3 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 a b) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (*.f64 a (/.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (*.f64 (*.f64 a (/.f64 1/2 b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (/.f64 1 b)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 1/4 b)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (/.f64 (+.f64 a a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 a b) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1/3 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (/.f64 1/2 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (/.f64 1/4 b)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 a 1/2)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 -2/3 (/.f64 1 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 b) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 1/2 b)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 a b) -2/3) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 a b) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -2/3 (/.f64 1 b)) (*.f64 -2/3 (/.f64 1 b))) (*.f64 1/2 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (*.f64 -2/3 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (*.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/4 b) (/.f64 1/4 b)) (*.f64 a -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 a b) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 a b) -1/3) (*.f64 (/.f64 a b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 a b) -1/3) (*.f64 (/.f64 a b) -1/3))))))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-2`
1320×	`rational.json-simplify-29`
934×	`rational.json-simplify-35`
756×	`rational.json-simplify-53`
692×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1313
1	207	1313
2	447	1313
3	1016	1313
4	2267	1313
5	3310	1313
6	4951	1313

Stop Event

1×	node limit

Counts

101 → 54

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 (/.f64 a b) -2/3) 0)
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (/.f64 a b) -1/3))
(+.f64 0 (*.f64 (/.f64 a b) -2/3))
(-.f64 (*.f64 (/.f64 a b) -2/3) 0)
(/.f64 (*.f64 (/.f64 a b) -2/3) 1)
(/.f64 (*.f64 (/.f64 a b) -4/3) 2)
(/.f64 (*.f64 (/.f64 a b) -8/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 a b) -8/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 a b) -8/3))) 16)
(+.f64 (*.f64 (/.f64 a b) -1/3) 0)
(+.f64 0 (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (/.f64 a b) -1/3) 0)
(.f64 a (.f64 -2/3 (/.f64 1/2 b)))
(.f64 a (.f64 1/2 (*.f64 -2/3 (/.f64 1 b))))
(.f64 a (.f64 (/.f64 1 b) -1/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 -2/3 (.f64 a (/.f64 1/2 b)))
(.f64 (.f64 (/.f64 a b) -2/3) 1/2)
(.f64 2 (/.f64 (.f64 (/.f64 a b) -2/3) 4))
(.f64 (.f64 (/.f64 a b) -1/3) 1)
(.f64 1 (.f64 (/.f64 a b) -1/3))
(.f64 (+.f64 a a) (.f64 -2/3 (/.f64 1/4 b)))
(.f64 (+.f64 a a) (.f64 -1/3 (/.f64 1/2 b)))
(.f64 (.f64 (/.f64 a b) -4/3) 1/4)
(.f64 (.f64 a (/.f64 1/2 b)) -2/3)
(*.f64 (/.f64 (+.f64 a a) b) -1/6)
(.f64 (.f64 (/.f64 a b) -8/3) 1/8)
(.f64 (.f64 a 1/2) (*.f64 -2/3 (/.f64 1 b)))
(.f64 (/.f64 1 b) (.f64 -2/3 (*.f64 a 1/2)))
(.f64 (/.f64 1 b) (.f64 a -1/3))
(.f64 1/2 (.f64 (/.f64 a b) -2/3))
(*.f64 -1/3 (/.f64 a b))
(.f64 -4/3 (.f64 a (/.f64 1/4 b)))
(.f64 -4/3 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2))
(.f64 (.f64 -2/3 (/.f64 1 b)) (*.f64 a 1/2))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(*.f64 -1/6 (/.f64 (+.f64 a a) b))
(.f64 1/4 (.f64 (/.f64 a b) -4/3))
(.f64 (.f64 2 (/.f64 1 b)) (.f64 -1/3 (.f64 a 1/2)))
(.f64 (.f64 -2/3 (/.f64 1/2 b)) a)
(.f64 (.f64 -2/3 (/.f64 1/4 b)) (+.f64 a a))
(.f64 (.f64 -2/3 (*.f64 a 1/2)) (/.f64 1 b))
(.f64 (.f64 1/2 (*.f64 -2/3 (/.f64 1 b))) a)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (.f64 -1/3 (/.f64 1/2 b)) (+.f64 a a))
(.f64 (.f64 a -1/3) (/.f64 1 b))
(.f64 (/.f64 (.f64 (/.f64 a b) -2/3) 4) 2)
(.f64 1/8 (.f64 (/.f64 a b) -8/3))
(.f64 (+.f64 (.f64 -2/3 (/.f64 1 b)) (.f64 -2/3 (/.f64 1 b))) (.f64 1/2 (*.f64 a 1/2)))
(.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (.f64 -2/3 (*.f64 a 1/2)))
(.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (.f64 a -1/3))
(.f64 (+.f64 (/.f64 1/4 b) (/.f64 1/4 b)) (.f64 a -2/3))

Outputs
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(+.f64 (*.f64 (/.f64 a b) -2/3) 0)
(*.f64 -2/3 (/.f64 a b))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (/.f64 a b) -1/3))
(*.f64 -2/3 (/.f64 a b))
(+.f64 0 (*.f64 (/.f64 a b) -2/3))
(*.f64 -2/3 (/.f64 a b))
(-.f64 (*.f64 (/.f64 a b) -2/3) 0)
(*.f64 -2/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) -2/3) 1)
(*.f64 -2/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) -4/3) 2)
(*.f64 -2/3 (/.f64 a b))
(/.f64 (*.f64 (/.f64 a b) -8/3) 4)
(*.f64 -2/3 (/.f64 a b))
(/.f64 (.f64 2 (.f64 (/.f64 a b) -8/3)) 8)
(*.f64 -2/3 (/.f64 a b))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 a b) -8/3))) 16)
(*.f64 -2/3 (/.f64 a b))
(+.f64 (*.f64 (/.f64 a b) -1/3) 0)
(*.f64 (/.f64 a b) -1/3)
(+.f64 0 (*.f64 (/.f64 a b) -1/3))
(*.f64 (/.f64 a b) -1/3)
(-.f64 (*.f64 (/.f64 a b) -1/3) 0)
(*.f64 (/.f64 a b) -1/3)
(.f64 a (.f64 -2/3 (/.f64 1/2 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 a (.f64 1/2 (*.f64 -2/3 (/.f64 1 b))))
(*.f64 (/.f64 a b) -1/3)
(.f64 a (.f64 (/.f64 1 b) -1/3))
(*.f64 (/.f64 a b) -1/3)
(*.f64 (/.f64 a b) -1/3)
(.f64 -2/3 (.f64 a (/.f64 1/2 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (/.f64 a b) -2/3) 1/2)
(*.f64 (/.f64 a b) -1/3)
(.f64 2 (/.f64 (.f64 (/.f64 a b) -2/3) 4))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (/.f64 a b) -1/3) 1)
(*.f64 (/.f64 a b) -1/3)
(.f64 1 (.f64 (/.f64 a b) -1/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 a a) (.f64 -2/3 (/.f64 1/4 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 a a) (.f64 -1/3 (/.f64 1/2 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (/.f64 a b) -4/3) 1/4)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 a (/.f64 1/2 b)) -2/3)
(*.f64 (/.f64 a b) -1/3)
(*.f64 (/.f64 (+.f64 a a) b) -1/6)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (/.f64 a b) -8/3) 1/8)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 a 1/2) (*.f64 -2/3 (/.f64 1 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (/.f64 1 b) (.f64 -2/3 (*.f64 a 1/2)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 1/2 (.f64 (/.f64 a b) -2/3))
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(.f64 -4/3 (.f64 a (/.f64 1/4 b)))
(*.f64 (/.f64 a b) -1/3)
(.f64 -4/3 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 -2/3 (/.f64 1 b)) (*.f64 a 1/2))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(*.f64 (/.f64 a b) -1/3)
(*.f64 -1/6 (/.f64 (+.f64 a a) b))
(*.f64 (/.f64 a b) -1/3)
(.f64 1/4 (.f64 (/.f64 a b) -4/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 2 (/.f64 1 b)) (.f64 -1/3 (.f64 a 1/2)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 -2/3 (/.f64 1/2 b)) a)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 -2/3 (/.f64 1/4 b)) (+.f64 a a))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 -2/3 (*.f64 a 1/2)) (/.f64 1 b))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 1/2 (*.f64 -2/3 (/.f64 1 b))) a)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 -1/3 (/.f64 1/2 b)) (+.f64 a a))
(*.f64 (/.f64 a b) -1/3)
(.f64 (.f64 a -1/3) (/.f64 1 b))
(*.f64 (/.f64 a b) -1/3)
(.f64 (/.f64 (.f64 (/.f64 a b) -2/3) 4) 2)
(*.f64 (/.f64 a b) -1/3)
(.f64 1/8 (.f64 (/.f64 a b) -8/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 (.f64 -2/3 (/.f64 1 b)) (.f64 -2/3 (/.f64 1 b))) (.f64 1/2 (*.f64 a 1/2)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (.f64 -2/3 (*.f64 a 1/2)))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 (/.f64 1/2 b) (/.f64 1/2 b)) (.f64 a -1/3))
(*.f64 (/.f64 a b) -1/3)
(.f64 (+.f64 (/.f64 1/4 b) (/.f64 1/4 b)) (.f64 a -2/3))
(*.f64 (/.f64 a b) -1/3)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
	0.3b	(/.f64 (/.f64 a 3) b)

Compiler

Compiled 35 to 22 computations (37.1% saved)

series2.0ms (0%)

Counts

1 → 25

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
0.0ms	x	@	inf	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
0.0ms	x	@	0	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
0.0ms	a	@	0	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
0.0ms	b	@	0	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`bool.json-1`
2074×	`bool.json-2`
1350×	`rational.json-simplify-35`
904×	`rational.json-1`
904×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	134	29
2	401	29
3	1018	29
4	2909	29
5	7108	29

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sqrt.f64 x)) (neg.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 a (/.f64 1/3 b))) (*.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))))))

simplify195.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1958×	`rational.json-simplify-35`
1042×	`rational.json-simplify-61`
1030×	`rational.json-simplify-2`
968×	`rational.json-simplify-48`
884×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1399
1	114	1399
2	203	1311
3	465	1311
4	1188	1311
5	2280	1311
6	2998	1311
7	3273	1311
8	3705	1311
9	4822	1311
10	5590	1311
11	7201	1311

Stop Event

1×	node limit

Counts

49 → 29

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 0)
(+.f64 0 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))
(+.f64 -1 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 2 (sqrt.f64 x)))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
(.f64 2 (/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))
(.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 1)
(.f64 1 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))
(.f64 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))) 1/2)
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))) -1)
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))))
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
(.f64 (/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2) 2)
(/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 1)
(/.f64 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))) 2)
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (sqrt.f64 x))) -1)
(/.f64 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4))) 16)
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (sqrt.f64 x))))

Outputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 0)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 0 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 -1 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (neg.f64 (.f64 a (/.f64 1/3 b))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))))
(.f64 2 (/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 1 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))) 1/2)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))) -1)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 -1 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 1/2 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(.f64 (/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2) 2)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 1)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b)))) 2)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (sqrt.f64 x))) -1)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 4) 4)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 1/3 b)) (*.f64 2 (sqrt.f64 x)))) -2)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4)) 8)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4)) (.f64 2 (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 4))) 16)
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(neg.f64 (-.f64 (.f64 a (/.f64 1/3 b)) (.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 2 (sqrt.f64 x)) (neg.f64 (.f64 a (/.f64 1/3 b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
✓	2.6b	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
	2.8b	(.f64 t (.f64 z (sin.f64 y)))

Compiler

Compiled 73 to 26 computations (64.4% saved)

series6.0ms (0%)

Counts

2 → 8

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
0.0ms	z	@	-inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
0.0ms	t	@	-inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`bool.json-1`
1402×	`bool.json-2`
1370×	`rational.json-1`
1370×	`rational.json-2`
1370×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	143	60
2	399	60
3	912	60
4	2137	60
5	4968	60

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs
(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 t z)) 2)) (*.f64 (sin.f64 y) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 t z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (sin.f64 y) (+.f64 z z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4))))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 1/3)) (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 x) 4/3) (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))) (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))) (*.f64 t (*.f64 (sqrt.f64 x) (*.f64 (*.f64 z (sin.f64 y)) 2/3))))))))

simplify163.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1608×	`rational.json-simplify-35`
1558×	`rational.json-simplify-49`
1484×	`rational.json-simplify-53`
1044×	`rational.json-simplify-48`
836×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1288
1	272	1288
2	662	1258
3	1734	1194
4	3552	1194
5	6072	1194
6	6667	1194
7	6828	1194
8	7205	1194

Stop Event

1×	node limit

Counts

28 → 65

Calls

Call 1

Inputs
(.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (.f64 -1/7560 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))))))
(+.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)
(+.f64 0 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 (sin.f64 y) (/.f64 (.f64 (sqrt.f64 x) (.f64 t z)) 2)) (.f64 (sin.f64 y) (/.f64 (.f64 (sqrt.f64 x) (.f64 t z)) 2)))
(-.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)
(/.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 1)
(/.f64 (.f64 t (.f64 (sqrt.f64 x) (*.f64 (sin.f64 y) (+.f64 z z)))) 2)
(/.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (*.f64 t 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4)))))) 32)
(+.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 0)
(+.f64 0 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))))
(+.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 1/3)) (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 1/3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 0)
(/.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 1)
(/.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) 4/3) (.f64 z (sin.f64 y)))) 2)
(/.f64 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)))) 32)

Outputs
(.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))
(.f64 y (.f64 t (*.f64 z (sqrt.f64 x))))
(.f64 t (.f64 (sqrt.f64 x) (*.f64 y z)))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (*.f64 (sqrt.f64 x) -1/6)))
(+.f64 (.f64 y (.f64 t (.f64 z (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (.f64 (.f64 t (*.f64 z (pow.f64 y 3))) -1/6)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 t z)) (.f64 (.f64 t z) (.f64 (pow.f64 y 3) -1/6))))
(.f64 (.f64 t z) (+.f64 (.f64 y (sqrt.f64 x)) (.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 x) -1/6))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 x) -1/6)) (+.f64 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) (.f64 1/120 (.f64 (sqrt.f64 x) (.f64 t (*.f64 z (pow.f64 y 5)))))))
(+.f64 (.f64 y (.f64 t (.f64 z (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/120 (.f64 t (.f64 z (pow.f64 y 5))))) (.f64 (sqrt.f64 x) (.f64 (.f64 t (*.f64 z (pow.f64 y 3))) -1/6))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 t z)) (.f64 (.f64 t z) (.f64 (pow.f64 y 3) -1/6)))) (.f64 (sqrt.f64 x) (.f64 (.f64 z (pow.f64 y 5)) (.f64 t 1/120))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (pow.f64 y 5)) 1/120)) (+.f64 (.f64 y (.f64 t z)) (.f64 t (.f64 (*.f64 z (pow.f64 y 3)) -1/6)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 x) -1/6)) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (pow.f64 y 5))))) (+.f64 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) (.f64 (.f64 (.f64 t z) (pow.f64 y 7)) (*.f64 (sqrt.f64 x) -1/5040)))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 t (.f64 z (pow.f64 y 3))) -1/6)) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/120 (.f64 t (.f64 z (pow.f64 y 5))))) (+.f64 (.f64 y (.f64 t (.f64 z (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (.f64 (.f64 z (*.f64 (pow.f64 y 7) t)) -1/5040)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 t z)) (.f64 (.f64 t z) (.f64 (pow.f64 y 3) -1/6)))) (+.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 z (pow.f64 y 5)) (.f64 t 1/120))) (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 z (pow.f64 y 7))) -1/5040))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 y (sqrt.f64 x)) (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 x) -1/6)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/5040 (.f64 t (.f64 z (pow.f64 y 7)))) (.f64 z (.f64 (.f64 t (pow.f64 y 5)) 1/120)))))
(.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3))
(.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3))
(.f64 y (.f64 (.f64 t (.f64 z (sqrt.f64 x))) 2/3))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 x) -1/9)))
(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 z (pow.f64 y 3))))))
(+.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (.f64 (.f64 t z) (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) -1/9)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 3))) -1/9) (.f64 y (.f64 (*.f64 t z) 2/3))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 x) -1/9)) (+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (.f64 (.f64 t (.f64 z (pow.f64 y 5))) (.f64 (sqrt.f64 x) 1/180))))
(+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 z (pow.f64 y 3))))) (.f64 (sqrt.f64 x) (.f64 1/180 (.f64 t (.f64 z (pow.f64 y 5)))))))
(+.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (+.f64 (.f64 (.f64 t z) (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) -1/9)) (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 z (pow.f64 y 5))) 1/180))))
(+.f64 (.f64 (.f64 t z) (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) -1/9)) (.f64 (sqrt.f64 x) (+.f64 (.f64 t (.f64 (.f64 z (pow.f64 y 5)) 1/180)) (.f64 y (.f64 (*.f64 t z) 2/3)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (.f64 -1/7560 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))))))
(+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 5))) (.f64 (sqrt.f64 x) 1/180)) (+.f64 (+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (.f64 (.f64 (.f64 t z) (pow.f64 y 7)) (.f64 (sqrt.f64 x) -1/7560))) (.f64 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 x) -1/9))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 z (pow.f64 y 3))))) (+.f64 (.f64 (.f64 y (.f64 t z)) (.f64 (sqrt.f64 x) 2/3)) (+.f64 (.f64 (sqrt.f64 x) (.f64 1/180 (.f64 t (.f64 z (pow.f64 y 5))))) (.f64 (.f64 z (.f64 (pow.f64 y 7) t)) (.f64 (sqrt.f64 x) -1/7560)))))
(+.f64 (+.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (.f64 (.f64 (.f64 z (sqrt.f64 x)) (.f64 t (pow.f64 y 7))) -1/7560)) (+.f64 (.f64 (.f64 t z) (.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) -1/9)) (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 z (pow.f64 y 5))) 1/180))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (.f64 z (pow.f64 y 3))) -1/9) (.f64 y (.f64 (.f64 t z) 2/3)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z (pow.f64 y 7)) (.f64 t -1/7560)) (.f64 t (.f64 (.f64 z (pow.f64 y 5)) 1/180)))))
(+.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(+.f64 0 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))))
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(+.f64 (.f64 (sin.f64 y) (/.f64 (.f64 (sqrt.f64 x) (.f64 t z)) 2)) (.f64 (sin.f64 y) (/.f64 (.f64 (sqrt.f64 x) (.f64 t z)) 2)))
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(-.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 0)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 1)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (.f64 t (.f64 (sqrt.f64 x) (*.f64 (sin.f64 y) (+.f64 z z)))) 2)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))) 4)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (*.f64 t 4)))) 8)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))))) 16)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 t 4)))))) 32)
(.f64 (.f64 t z) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 z (.f64 t (*.f64 (sqrt.f64 x) (sin.f64 y))))
(.f64 z (.f64 (sqrt.f64 x) (*.f64 t (sin.f64 y))))
(.f64 t (.f64 z (*.f64 (sqrt.f64 x) (sin.f64 y))))
(+.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 0)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 0 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))))
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 1/3)) (.f64 (.f64 t (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 x) 1/3)))
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 0)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) 2/3))) 1)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) 4/3) (.f64 z (sin.f64 y)))) 2)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3) 4)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 t z) (*.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)) 8)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) 16)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3))) (.f64 2 (.f64 2 (.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) (sqrt.f64 x))) 8/3)))) 32)
(.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (.f64 z (sin.f64 y))) t))
(.f64 t (.f64 (sqrt.f64 x) (.f64 z (.f64 (sin.f64 y) 2/3))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (.f64 z (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.3b	(.f64 1/3 (.f64 t z))
	2.4b	(.f64 y (sin.f64 (.f64 1/3 (*.f64 t z))))
	29.9b	(sin.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 98 to 56 computations (42.9% saved)

eval194.0ms (1.3%)

Compiler: Compiled 13469 to 7325 computations (45.6% saved)

prune169.0ms (1.1%)

Pruning

33 alts after pruning (21 fresh and 12 done)

	Pruned	Kept	Total
New	598	12	610
Fresh	4	9	13
Picked	1	0	1
Done	0	12	12
Total	603	33	636

Error

16.2b

Counts

636 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.6b	(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
✓	27.0b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (/.f64 a (*.f64 3 b)))
	44.3b	(-.f64 (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 -1 (-.f64 1 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (neg.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3)))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (+.f64 -1 (-.f64 1 (.f64 1/3 z))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
✓	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 1 (.f64 y (sin.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
✓	23.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
✓	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
✓	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	47.9b	(-.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (/.f64 a (*.f64 b 3)))
✓	23.2b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 (/.f64 a b) 1/3))
✓	27.6b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
	27.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
✓	44.3b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	47.9b	(-.f64 (.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 y z)))) (/.f64 a (*.f64 b 3)))
	38.9b	(+.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) (.f64 (sqrt.f64 x) (cos.f64 y)))
✓	18.8b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
	27.9b	(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
	34.6b	(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
	27.8b	(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
	33.6b	(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
	37.9b	(.f64 (/.f64 1 b) (.f64 a -1/3))
	37.9b	(.f64 (.f64 (/.f64 1 b) -1/3) a)
	37.9b	(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
	37.9b	(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
	54.0b	(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
✓	43.0b	(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
	52.1b	(*.f64 2 (sqrt.f64 x))
✓	37.6b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 697 to 535 computations (23.2% saved)

regimes350.0ms (2.4%)

Counts

49 → 1

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(-.f64 (.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 y z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2)))) (/.f64 a (.f64 b 3)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) (-.f64 (*.f64 a (/.f64 1/3 b)) 1)) -1)
(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 t (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 t 1/3) z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 1 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 1 (.f64 y (sin.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 y)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 (.f64 t (+.f64 -1 (-.f64 1 (.f64 1/3 z))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 2/3))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (neg.f64 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3)))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 -1 (-.f64 1 (cos.f64 (+.f64 (PI.f64) (.f64 (.f64 t z) -1/3))))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(+.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) (.f64 (sqrt.f64 x) (cos.f64 y)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y))) (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) -1/18))))))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))) (.f64 (cos.f64 y) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 3 b)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))

Calls

16 calls:

22.0ms	(*.f64 b 3)
22.0ms	t
22.0ms	b
21.0ms	z
21.0ms	x

Results

Error	Segments	Branch
18.5b	1	`x`
18.5b	1	`y`
18.5b	1	`z`
18.5b	1	`t`
18.5b	1	`a`
18.5b	1	`b`
18.5b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
18.5b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
18.5b	1	`(*.f64 2 (sqrt.f64 x))`
18.5b	1	`(sqrt.f64 x)`
18.5b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.5b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.5b	1	`(/.f64 (*.f64 z t) 3)`
18.5b	1	`(*.f64 z t)`
18.5b	1	`(/.f64 a (*.f64 b 3))`
18.5b	1	`(*.f64 b 3)`

Compiler

Compiled 999 to 624 computations (37.5% saved)

regimes104.0ms (0.7%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(-.f64 (.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 y z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

Outputs
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))

Calls

10 calls:

10.0ms	(*.f64 b 3)
10.0ms	x
10.0ms	z
10.0ms	(sqrt.f64 x)
10.0ms	y

Results

Error	Segments	Branch
18.5b	1	`x`
18.5b	1	`y`
18.5b	1	`z`
18.5b	1	`t`
18.5b	1	`a`
18.5b	1	`b`
18.5b	1	`(*.f64 2 (sqrt.f64 x))`
18.5b	1	`(sqrt.f64 x)`
18.5b	1	`(/.f64 a (*.f64 b 3))`
18.5b	1	`(*.f64 b 3)`

Compiler

Compiled 290 to 194 computations (33.1% saved)

regimes310.0ms (2.1%)

Counts

18 → 3

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(-.f64 (.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 y z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (pow.f64 y 2))))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 a (/.f64 1/3 b))) (sqrt.f64 x))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))

Calls

10 calls:

47.0ms	(*.f64 b 3)
46.0ms	y
45.0ms	b
25.0ms	a
25.0ms	t

Results

Error	Segments	Branch
26.0b	2	`x`
23.4b	5	`y`
26.5b	3	`z`
26.3b	3	`t`
24.9b	3	`a`
23.7b	5	`b`
26.0b	2	`(*.f64 2 (sqrt.f64 x))`
26.0b	2	`(sqrt.f64 x)`
21.4b	3	`(/.f64 a (*.f64 b 3))`
23.7b	5	`(*.f64 b 3)`

Compiler

Compiled 264 to 181 computations (31.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.37646577462509e-29	6.703450215183876e-28
0.0ms	-1.2442150908558114e-104	-4.44724396900541e-105

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes82.0ms (0.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(+.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 a (/.f64 1/3 b)) 1)) -1)
(-.f64 (.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 y z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (.f64 (sqrt.f64 x) (.f64 y z)) 2/3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (.f64 (.f64 t z) 2/3)))) (/.f64 a (*.f64 b 3)))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))

Calls

10 calls:

10.0ms	y
8.0ms	a
8.0ms	(sqrt.f64 x)
8.0ms	z
7.0ms	b

Results

Error	Segments	Branch
27.5b	1	`x`
27.5b	1	`y`
27.5b	1	`z`
27.5b	1	`t`
27.5b	1	`a`
27.5b	1	`b`
27.5b	1	`(*.f64 2 (sqrt.f64 x))`
27.5b	1	`(sqrt.f64 x)`
27.5b	1	`(/.f64 a (*.f64 b 3))`
27.5b	1	`(*.f64 b 3)`

Compiler

Compiled 226 to 162 computations (28.3% saved)

regimes45.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))

Calls

8 calls:

6.0ms	t
6.0ms	y
6.0ms	(sqrt.f64 x)
5.0ms	b
5.0ms	(*.f64 2 (sqrt.f64 x))

Results

Error	Segments	Branch
27.8b	1	`x`
27.8b	1	`y`
27.8b	1	`z`
27.8b	1	`t`
27.8b	1	`a`
27.8b	1	`b`
27.8b	1	`(*.f64 2 (sqrt.f64 x))`
27.8b	1	`(sqrt.f64 x)`

Compiler

Compiled 122 to 96 computations (21.3% saved)

regimes105.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)
(*.f64 2 (sqrt.f64 x))

Outputs
(*.f64 2 (sqrt.f64 x))
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (sqrt.f64 x))

Calls

8 calls:

13.0ms	y
13.0ms	(sqrt.f64 x)
13.0ms	(*.f64 2 (sqrt.f64 x))
13.0ms	b
13.0ms	a

Results

Error	Segments	Branch
35.4b	2	`x`
36.3b	3	`y`
36.3b	3	`z`
36.6b	3	`t`
36.0b	3	`a`
33.7b	3	`b`
35.4b	2	`(*.f64 2 (sqrt.f64 x))`
35.4b	2	`(sqrt.f64 x)`

Compiler

Compiled 112 to 90 computations (19.6% saved)

bsearch86.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.2411830450078309e+155	2.790823339199822e+158
41.0ms	-5.660385632670321e+100	-1.4966231162105763e+99

Results

27.0ms	41×	body	2048	valid
23.0ms	48×	body	1024	valid
20.0ms	113×	body	256	valid
13.0ms	38×	body	512	valid

Compiler

Compiled 379 to 327 computations (13.7% saved)

regimes30.0ms (0.2%)

Accuracy

Total -0.4b remaining (-1.1%)

Threshold costs -0.4b (-1.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(.f64 (.f64 a (/.f64 1/4 b)) -4/3)
(.f64 (.f64 (/.f64 1 b) -1/3) a)
(.f64 (/.f64 1 b) (.f64 a -1/3))
(/.f64 (*.f64 (/.f64 a b) -2/3) 2)
(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) 1/2) -4/3)

Outputs
(*.f64 -1/3 (/.f64 a b))

Calls

6 calls:

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

Results

Error	Segments	Branch
37.6b	1	`x`
37.6b	1	`y`
37.6b	1	`z`
37.6b	1	`t`
37.6b	1	`a`
37.6b	1	`b`

Compiler

Compiled 90 to 71 computations (21.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	323

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 8920298079412249/89202980794122492566142873090593446023921664) (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(if (<=.f64 b -20999999999999998585558710301802115156041981843118074940374632724344892294926631462694430285611663360) (.f64 2 (sqrt.f64 x)) (if (<=.f64 b 749999999999999987519385167393791285920279206263102902275255710845351313125759415898608407709454056313428041258272328800650880511123430300099132777744564224) (.f64 -1/3 (/.f64 a b)) (*.f64 2 (sqrt.f64 x))))
(*.f64 -1/3 (/.f64 a b))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (/.f64 a 3) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 8920298079412249/89202980794122492566142873090593446023921664) (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(if (<=.f64 b -20999999999999998585558710301802115156041981843118074940374632724344892294926631462694430285611663360) (.f64 2 (sqrt.f64 x)) (if (<=.f64 b 749999999999999987519385167393791285920279206263102902275255710845351313125759415898608407709454056313428041258272328800650880511123430300099132777744564224) (.f64 -1/3 (/.f64 a b)) (*.f64 2 (sqrt.f64 x))))
(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 157 to 120 computations (23.6% saved)

soundness0.0ms (0%)

end60.0ms (0.4%)

Remove: (sort z t)
Compiler: Compiled 159 to 106 computations (33.3% saved)