Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

analyze436.0ms (5.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 24 to 19 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 96.0ms (45.5% of total)

ival-div: 56.0ms (26.6% of total)

ival-acos: 29.0ms (13.8% of total)

ival-sqrt: 23.0ms (10.9% of total)

const: 6.0ms (2.8% of total)

backward-pass: 1.0ms (0.5% of total)

sample4.5s (52.8%)

Results

2.0s	15061×	0	invalid
1.4s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 908.0ms (43.3% of total)

ival-div: 707.0ms (33.7% of total)

ival-sqrt: 222.0ms (10.6% of total)

ival-acos: 196.0ms (9.3% of total)

const: 56.0ms (2.7% of total)

backward-pass: 9.0ms (0.4% of total)

Bogosity

preprocess179.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1430×	`associate-*r/`
1388×	`fma-define`
1316×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	281	227
2	988	197
3	3692	197
4	4386	197
5	5771	197
6	7648	197
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))

Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Call 2

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))

Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3)
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z))))

Symmetry

(sort y z)

explain150.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
30	-	4	(-1.4016245937371645e-186 -1.7196991554286672e+130 -5.9219017604041065e-133 1.5544827422014267e+246)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
12	-	1	(-9.191830537908015e-257 -2.753380994060431e+71 -4.5418729318818e-8 3.490913785639605e+54)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

92.0ms

512×

valid

Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 17.0ms (42.1% of total)

ival-div: 13.0ms (32.2% of total)

ival-acos: 5.0ms (12.4% of total)

ival-sqrt: 4.0ms (9.9% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Status

Accuracy

Program

▶

98.1%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

▶

97.3%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	256	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	cost-diff	256	(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
✓	cost-diff	0	(.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y))
✓	cost-diff	0	(acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Rules

2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1186×	`associate-*l/`
1120×	`associate-r`
1096×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	134
1	55	130
2	156	128
3	482	128
4	1540	128
5	3040	128
6	3079	128
7	3098	128
8	3098	128
9	3098	128
10	3658	128
11	3674	128
12	3674	128
0	3674	128

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
1/3
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1/18
(/ (/ (* x (sqrt t)) z) y)
(/ (* x (sqrt t)) z)
(* x (sqrt t))
x
(sqrt t)
t
z
y
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ 1 3)
1
3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t

Outputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
1/3
#s(literal 1/3 binary64)
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y))
1/18
#s(literal 1/18 binary64)
(/ (/ (* x (sqrt t)) z) y)
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
(/ (* x (sqrt t)) z)
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
z
y
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (.f64 x (sqrt.f64 t)) z) y))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(* 3 (/ x (* y 27)))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
(/ x (* y 27))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(* y 27)
(*.f64 y #s(literal 27 binary64))
y
27
#s(literal 27 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t

localize150.0ms (1.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓	accuracy	95.6%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	90.0%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 t))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
✓	accuracy	95.4%	(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓	accuracy	90.4%	(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)

Results

115.0ms

256×

valid

Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 34.0ms (40.7% of total)

ival-acos: 28.0ms (33.5% of total)

ival-div: 11.0ms (13.2% of total)

...c/correct-round.rkt:119:19: 7.0ms (8.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series48.0ms (0.6%)

Counts

11 → 456

Calls

Call 1

Inputs
#<alt (* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))>
#<alt (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))>
#<alt (* 1/18 (/ (/ (* x (sqrt t)) z) y))>
#<alt (/ (/ (* x (sqrt t)) z) y)>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (/ (* x (sqrt t)) z)>
#<alt (* x (sqrt t))>
#<alt (/ x (* y 27))>

Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>

Calls

114 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
3.0ms	z	@	0	(/ (* x (sqrt t)) z)
3.0ms	y	@	inf	(/ (* 3 (/ x (* y 27))) (* z 2))
3.0ms	t	@	-inf	(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms	x	@	0	(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite417.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5482×	`-lowering-.f32`
5482×	`-lowering-.f64`
3118×	`/-lowering-/.f32`
3118×	`/-lowering-/.f64`
1776×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	114
1	91	106
2	590	98
3	5340	98
0	8911	98

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 805

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(/ (/ (* x (sqrt t)) z) y)
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/ (* x (sqrt t)) z)
(* x (sqrt t))
(/ x (* y 27))

Outputs
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(+.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(*.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (.f64 x (sqrt.f64 t))) z) y)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(exp.f64 (.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (.f64 x (sqrt.f64 t))) z) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(/.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (.f64 x (sqrt.f64 t))) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (.f64 #s(literal -1/18 binary64) (.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify456.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3138×	`-lowering-.f32`
3138×	`-lowering-.f64`
1330×	`sum3-define`
1260×	`/-lowering-/.f32`
1260×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	4412
1	86	4348
2	312	4332
3	1261	4332
4	3230	4332
5	5554	4332
0	8089	4332

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)

eval322.0ms (3.8%)

Compiler: Compiled 22127 to 3784 computations (82.9% saved)

prune154.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1260	1	1261
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1261	2	1263

Accuracy

98.5%

Counts

1263 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Status

Accuracy

Program

▶

97.7%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

✓

97.3%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 t)
✓	cost-diff	(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓	cost-diff	(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
✓	cost-diff	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

Rules

224×	`-lowering-.f32`
224×	`-lowering-.f64`
92×	`associate-l`
70×	`/-lowering-/.f32`
70×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	22	55
2	50	55
3	97	55
4	152	55
5	221	55
6	254	55
0	254	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
1/3
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
t
(* (/ x z) (/ 1/18 y))
(/ x z)
x
z
(/ 1/18 y)
1/18
y

Outputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)))
1/3
#s(literal 1/3 binary64)
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) z)) y))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(/.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) z)) y)
(sqrt t)
(sqrt.f64 t)
t
(* (/ x z) (/ 1/18 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/ x z)
(/.f64 x z)
x
z
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y

localize55.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal 1/18 binary64) y)
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓	accuracy	95.6%	(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓	accuracy	91.7%	(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))

Results

41.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

...c/correct-round.rkt:119:19: 8.0ms (34.2% of total)

ival-div: 5.0ms (21.4% of total)

ival-mult: 5.0ms (21.4% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-acos: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

6 → 204

Calls

Call 1

Inputs
#<alt (* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))>
#<alt (acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))>
#<alt (* (sqrt t) (* (/ x z) (/ 1/18 y)))>
#<alt (sqrt t)>
#<alt (* (/ x z) (/ 1/18 y))>
#<alt (/ 1/18 y)>

Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
0.0ms	t	@	-inf	(sqrt t)
0.0ms	y	@	0	(/ 1/18 y)
0.0ms	y	@	-inf	(/ 1/18 y)
0.0ms	y	@	inf	(/ 1/18 y)

rewrite310.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3472×	`/-lowering-/.f32`
3472×	`/-lowering-/.f64`
3420×	`-lowering-.f32`
3420×	`-lowering-.f64`
1100×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	48	46
2	300	46
3	2269	46
0	8500	46

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 497

Calls

Call 1

Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
(* (/ x z) (/ 1/18 y))
(/ 1/18 y)

Outputs
(+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))
(+.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))) (.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64))) (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64)))) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))) #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))
(.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y)))))))
(.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y)))))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y)))))))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y)))))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))))
(+.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y)))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) y))))))))
(+.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (.f64 (sqrt.f64 t) x))) y))))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal -1/18 binary64)))))
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(exp.f64 (.f64 (.f64 (log.f64 t) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 t) #s(literal 1/4 binary64)) (.f64 (log.f64 t) #s(literal 1/4 binary64))))
(sqrt.f64 t)
(/.f64 (sqrt.f64 t) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 t)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal -1 binary64))
(pow.f64 t #s(literal 1/2 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (/.f64 x z) #s(literal 18 binary64)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x z) (/.f64 y #s(literal -1/18 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) y))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 y #s(literal -1/18 binary64))) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/18 binary64))) (/.f64 (/.f64 x z) (/.f64 y #s(literal -1/18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/18 binary64))) (/.f64 (/.f64 x z) (/.f64 y #s(literal -1/18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (/.f64 #s(literal 1/18 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 y #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal -1/18 binary64) y))) (/.f64 x (/.f64 z (/.f64 #s(literal -1/18 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -1/18 binary64)) z)) (/.f64 x (.f64 (/.f64 y #s(literal -1/18 binary64)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 z y))) (/.f64 (.f64 x #s(literal -1/18 binary64)) (*.f64 z y)))
(neg.f64 (/.f64 (/.f64 x z) (/.f64 y #s(literal -1/18 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) y))
(neg.f64 (/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 z y)))
(neg.f64 (/.f64 (/.f64 x (/.f64 y #s(literal -1/18 binary64))) z))
(/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x (*.f64 (/.f64 y #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) z)))
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(/.f64 #s(literal 1/18 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x))
(/.f64 (/.f64 x #s(literal 18 binary64)) (*.f64 z y))
(/.f64 #s(literal -1/18 binary64) (/.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (/.f64 #s(literal -1/18 binary64) y)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 z x) (/.f64 #s(literal -1/18 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal -1/18 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (/.f64 x z) #s(literal 18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y)) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y) #s(literal -1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal -1/18 binary64)) z) (-.f64 #s(literal 0 binary64) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal -1/18 binary64)) (/.f64 x z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x (*.f64 z y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (/.f64 (/.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z x) #s(literal 1/18 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 x #s(literal 18 binary64))))
(/.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) y)
(/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) z)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) (/.f64 #s(literal -1/18 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal -1/18 binary64)) (/.f64 x z)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (/.f64 x z) #s(literal 18 binary64)))))
(/.f64 (.f64 x #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (/.f64 #s(literal -1/18 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 y #s(literal -1/18 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (*.f64 z y)) #s(literal 18 binary64))
(/.f64 (/.f64 x (/.f64 y #s(literal -1/18 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (/.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (*.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (/.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (neg.f64 (.f64 (/.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) (.f64 z y))
(/.f64 (neg.f64 (/.f64 (/.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 x (*.f64 z y))) #s(literal -18 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))) z)
(pow.f64 (/.f64 y (/.f64 (/.f64 x z) #s(literal 18 binary64))) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1/18 binary64) (.f64 z y)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1/18 binary64)) (-.f64 #s(literal 0 binary64) z))))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
(.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 18 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 #s(literal -1/18 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z y))))
(.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/18 binary64) (.f64 z y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1/18 binary64)) z)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x z) #s(literal 18 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
(*.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) (/.f64 y #s(literal -1/18 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) y))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -1/18 binary64)) (*.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 y #s(literal -1/18 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/18 binary64)) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (/.f64 x z) #s(literal 18 binary64))))))
(.f64 (.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 x #s(literal 18 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 18 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(.f64 (/.f64 #s(literal 1/18 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (/.f64 #s(literal 1/18 binary64) (.f64 z y)) x)
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x (/.f64 y #s(literal -1/18 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 x z) #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 (/.f64 #s(literal -1/18 binary64) z) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 #s(literal -1/18 binary64) (.f64 z y)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z y))) #s(literal -1/18 binary64))
(*.f64 (pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/18 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) y))
(neg.f64 (/.f64 #s(literal -1/18 binary64) y))
(/.f64 #s(literal 1/18 binary64) y)
(/.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1/18 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/18 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 18 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -1/18 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -18 binary64))
(/.f64 (/.f64 #s(literal -1/18 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/18 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 #s(literal -1/18 binary64) y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) y)))))
(pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 y #s(literal 1/18 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/18 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1/2 binary64)))

simplify226.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3246×	`-lowering-.f32`
3246×	`-lowering-.f64`
1932×	`fnmsub-define`
1822×	`fma-lowering-fma.f32`
1822×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	1984
1	64	1952
2	207	1944
3	772	1944
4	1915	1944
5	4411	1944
6	5976	1944
0	8859	1944

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
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(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x)) (*.f64 y z))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)

eval120.0ms (1.4%)

Compiler: Compiled 16091 to 2157 computations (86.6% saved)

prune110.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	701	0	701
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	701	2	703

Accuracy

98.5%

Counts

703 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

97.7%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

✓

97.3%

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Compiler

Compiled 83 to 58 computations (30.1% saved)

regimes27.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Calls

13 calls:

4.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	z
2.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 108 computations (20% saved)

regimes8.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

Calls

5 calls:

2.0ms	(sqrt.f64 t)
2.0ms	x
2.0ms	z
1.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`t`
97.7%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Calls

5 calls:

2.0ms	t
1.0ms	(sqrt.f64 t)
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	45
1	46	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))

(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

soundness611.0ms (7.2%)

Rules

5482×	`-lowering-.f32`
5482×	`-lowering-.f64`
3118×	`/-lowering-/.f32`
3118×	`/-lowering-/.f64`
2044×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	114
1	91	106
2	590	98
3	5340	98
0	8911	98
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 74 to 53 computations (28.4% saved)

preprocess87.0ms (1%)

Remove: (sort y z)
Compiler: Compiled 324 to 240 computations (25.9% saved)

Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

analyze436.0ms (5.2%)

sample4.5s (52.8%)

preprocess179.0ms (2.1%)

explain150.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify99.0ms (1.2%)

localize150.0ms (1.8%)

series48.0ms (0.6%)

rewrite417.0ms (4.9%)

simplify456.0ms (5.4%)

eval322.0ms (3.8%)

prune154.0ms (1.8%)

simplify11.0ms (0.1%)

localize55.0ms (0.6%)

series6.0ms (0.1%)

rewrite310.0ms (3.7%)

simplify226.0ms (2.7%)

eval120.0ms (1.4%)

prune110.0ms (1.3%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify9.0ms (0.1%)

soundness611.0ms (7.2%)

preprocess87.0ms (1%)

end0.0ms (0%)

Profiling