Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze550.0ms (4.7%)

Memory

27.1MiB live, 568.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.0s (33.9%)

Memory

74.4MiB live, 4 770.3MiB allocated

Samples

1.3s	3 783×	3	valid
707.0ms	8 317×	0	invalid
536.0ms	2 069×	2	valid
440.0ms	2 078×	1	valid
22.0ms	326×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-acos: 633.0ms (28.1% of total)

ival-sub: 441.0ms (19.5% of total)

adjust: 423.0ms (18.7% of total)

ival-mult: 405.0ms (17.9% of total)

ival-div: 321.0ms (14.2% of total)

exact: 15.0ms (0.7% of total)

ival-true: 12.0ms (0.5% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

explain232.0ms (2%)

Memory

-51.2MiB live, 437.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
13	239	(4.2385900694956313e-119)	-	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0	0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 v v)`
0	0	-	-	`#s(literal 5 binary64)`
0	0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0	0	-	-	`v`
0	0	-	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`	sensitivity	252	1

Confusion

	Predicted +	Predicted -
+	13	0
-	239	4

Precision

0.051587301587301584

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	239	1	3

Precision?

0.05138339920948617

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

76.0ms	216×	3	valid
30.0ms	130×	2	valid
21.0ms	132×	1	valid
3.0ms	34×	0	valid

Compiler

Compiled 168 to 40 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-acos: 27.0ms (30.2% of total)

adjust: 20.0ms (22.4% of total)

ival-sub: 17.0ms (19% of total)

ival-div: 12.0ms (13.4% of total)

ival-mult: 12.0ms (13.4% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess213.0ms (1.8%)

Memory

6.6MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	40	29
2	128	29
3	486	29
4	2038	29
5	4178	29
6	5122	29
7	5428	29
8	7049	29
0	9	14
0	15	14
1	35	14
2	80	14
3	206	14
4	578	14
5	1250	14
6	2549	14
7	4009	14
8	5829	14
9	7509	14
0	8054	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Outputs

(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify183.0ms (1.5%)

Memory

-2.4MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
cost-diff	128	(-.f64 (*.f64 v v) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	50
0	15	50
1	35	50
2	80	50
3	206	50
4	578	50
5	1250	50
6	2549	50
7	4009	50
8	5829	50
9	7509	50
0	8054	44

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))

Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))

localize89.0ms (0.8%)

Memory

6.4MiB live, 126.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 v v)
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.15138627930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.7757228372053121	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Samples

38.0ms	108×	3	valid
14.0ms	65×	2	valid
13.0ms	17×	0	valid
13.0ms	66×	1	valid

Compiler

Compiled 102 to 20 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-acos: 25.0ms (39.3% of total)

adjust: 19.0ms (29.8% of total)

ival-sub: 8.0ms (12.6% of total)

ival-div: 6.0ms (9.4% of total)

ival-mult: 5.0ms (7.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

-29.1MiB live, 8.1MiB allocated

Counts

6 → 17

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(*.f64 v v)

Outputs
1
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 5 (pow v 2))
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	0	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

Time

Variable

Point

Expression

3.0ms

-inf

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

1.0ms

inf

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

1.0ms

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

simplify116.0ms (1%)

Memory

33.8MiB live, 181.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	135
1	100	132
2	268	128
3	658	128
4	2013	126
5	5185	126
0	8109	115

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
1
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 5 (pow v 2))
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) v (pow.f64 v #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(* 5 (pow v 2))
(.f64 #s(literal 5 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))

rewrite173.0ms (1.5%)

Memory

-3.3MiB live, 226.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	70	47
2	530	47
3	6849	47
0	8017	41

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 607

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(*.f64 v v)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 v #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64)) v) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal 5 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) (-.f64 (.f64 (*.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 625 binary64) (pow.f64 v #s(literal 8 binary64)))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))
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(+.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 v v)) (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -5 binary64) (*.f64 v v))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -5 binary64) (*.f64 v v))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal -5 binary64) v)) v)
(.f64 (neg.f64 (.f64 (neg.f64 v) v)) #s(literal 5 binary64))
(.f64 (.f64 #s(literal -5 binary64) v) (neg.f64 v))
(.f64 (.f64 (neg.f64 v) v) #s(literal -5 binary64))
(.f64 (.f64 v #s(literal 5 binary64)) (neg.f64 (neg.f64 v)))
(.f64 (.f64 v #s(literal 5 binary64)) v)
(.f64 #s(literal -5 binary64) (.f64 (neg.f64 v) v))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -5 binary64) (*.f64 v v)))
(.f64 (.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(.f64 (.f64 v v) #s(literal 5 binary64))
(.f64 v (.f64 v #s(literal 5 binary64)))
(.f64 #s(literal 5 binary64) (neg.f64 (.f64 (neg.f64 v) v)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 5 binary64)))
(neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(.f64 #s(literal 1 binary64) (.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval103.0ms (0.9%)

Memory: 11.8MiB live, 171.9MiB allocated
Compiler: Compiled 16 601 to 2 203 computations (86.7% saved)

prune17.0ms (0.1%)

Memory

-1.7MiB live, 44.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	621	10	631
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	10	632

Accuracy

98.8%

Counts

632 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.7%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	98.8%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.8%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
	98.8%	(acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
▶	98.8%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	97.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶	0.0%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Compiler

Compiled 512 to 284 computations (44.5% saved)

simplify165.0ms (1.4%)

Memory

5.7MiB live, 172.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
cost-diff	704	(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
cost-diff	0	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	257
0	59	247
1	98	242
2	184	242
3	364	242
4	814	242
5	1888	242
6	3119	242
7	5536	242
8	7423	242
0	8043	241

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(literal -5 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(+.f64 v #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) v)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(literal -5 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) v))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(+.f64 v #s(literal 1 binary64))
(-.f64 v #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) v)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

localize457.0ms (3.9%)

Memory

-24.4MiB live, 442.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.8491959401788568	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	0.00390625	(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
accuracy	0.0390625	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
accuracy	0.7757228372053121	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
accuracy	0.0	(*.f64 v v)
accuracy	0.00390625	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.7757228372053121	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.7757228372053121	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy	53.17259538338742	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	58.81020699004832	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

196.0ms	108×	3	valid
113.0ms	73×	1	valid
96.0ms	65×	2	valid
3.0ms	10×	0	valid

Compiler

Compiled 539 to 73 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-acos: 72.0ms (23.8% of total)

ival-add: 49.0ms (16.2% of total)

ival-div: 47.0ms (15.5% of total)

adjust: 43.0ms (14.2% of total)

ival-mult: 34.0ms (11.2% of total)

ival-sub: 34.0ms (11.2% of total)

ival-asin: 13.0ms (4.3% of total)

ival-pow2: 5.0ms (1.6% of total)

ival-cbrt: 3.0ms (1% of total)

ival-pi: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

18 → 41

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(- v 1)
(- (* v (+ 1 (* 4 v))) 1)
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(- (* 5 (pow v 2)) 1)
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 v)
(* v (- 5 (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
2.0ms	v	@	inf	((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
1.0ms	v	@	-inf	((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

Time

Variable

Point

Expression

2.0ms

((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

2.0ms

inf

((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

1.0ms

-inf

((- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (* v v) 5) -1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

simplify154.0ms (1.3%)

Memory

2.0MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	428
1	334	417
2	865	413
3	2861	393
0	8113	351

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(- v 1)
(- (* v (+ 1 (* 4 v))) 1)
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(- (* 5 (pow v 2)) 1)
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 v)
(* v (- 5 (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))

Outputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal -4 binary64)) v) v #s(literal 1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal -1 binary64))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- v 1)
(-.f64 v #s(literal 1 binary64))
(- (* v (+ 1 (* 4 v))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) v #s(literal 4 binary64)) v #s(literal 1 binary64)) v #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 v v)) #s(literal 4 binary64)) (.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* -5 (pow v 2))
(.f64 #s(literal -5 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* 5 v)
(*.f64 #s(literal 5 binary64) v)
(* v (- 5 (* 5 (/ 1 v))))
(fma.f64 #s(literal 5 binary64) v #s(literal -5 binary64))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(-.f64 (*.f64 #s(literal 5 binary64) v) (-.f64 (/.f64 #s(literal -4 binary64) v) #s(literal -5 binary64)))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(fma.f64 #s(literal 5 binary64) v (-.f64 #s(literal -5 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)) v)))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(fma.f64 #s(literal 5 binary64) v #s(literal -5 binary64))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(-.f64 (*.f64 #s(literal 5 binary64) v) (-.f64 (/.f64 #s(literal -4 binary64) v) #s(literal -5 binary64)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))
(fma.f64 #s(literal 5 binary64) v (-.f64 #s(literal -5 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)) v)))

rewrite259.0ms (2.2%)

Memory

10.1MiB live, 357.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	59	172
1	255	172
2	1932	164
0	8957	163

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 1 441

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
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(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))

eval284.0ms (2.4%)

Memory: -5.3MiB live, 376.9MiB allocated
Compiler: Compiled 38 069 to 4 135 computations (89.1% saved)

prune113.0ms (1%)

Memory

-30.7MiB live, 96.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 294	10	1 304
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	1 299	15	1 314

Accuracy

98.8%

Counts

1 314 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
	3.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.7%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	96.5%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.3%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.3%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.3%	(-.f64 (PI.f64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	98.8%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.8%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
▶	98.8%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
▶	96.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 609 to 382 computations (37.3% saved)

simplify162.0ms (1.4%)

Memory

10.8MiB live, 126.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	19584	(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	0	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	12864	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal -5 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	282
0	65	260
1	111	260
2	173	260
3	350	260
4	794	260
5	1523	260
6	2742	260
7	4387	260
8	6110	260
9	7785	260
0	8034	260

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
#s(literal -5 binary64)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

Outputs
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

localize456.0ms (3.9%)

Memory

-8.9MiB live, 385.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	58.81020699004832	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0234375	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	58.81020699004832	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0	(PI.f64)
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
accuracy	0.6070333005289876	#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
accuracy	58.81020699004832	(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
accuracy	0.7757228372053121	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	1.284049896009025	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal -5 binary64) v)
accuracy	0.00390625	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.7757228372053121	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

249.0ms	108×	3	valid
89.0ms	65×	2	valid
44.0ms	73×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 576 to 82 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-div: 88.0ms (26% of total)

ival-mult: 51.0ms (15.1% of total)

ival-sub: 48.0ms (14.2% of total)

ival-acos: 48.0ms (14.2% of total)

ival-add: 45.0ms (13.3% of total)

adjust: 40.0ms (11.8% of total)

ival-cbrt: 6.0ms (1.8% of total)

ival-pow: 5.0ms (1.5% of total)

ival-pow2: 5.0ms (1.5% of total)

ival-pi: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

18 → 24

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
1
(+ 1 (* -5 (pow v 2)))
(* -5 v)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (pow (cbrt (PI)) 2) (cbrt (PI))) (- (* (pow (cbrt (PI)) 2) (cbrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

1.0ms

((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (pow (cbrt (PI)) 2) (cbrt (PI))) (- (* (pow (cbrt (PI)) 2) (cbrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

1.0ms

-inf

((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (pow (cbrt (PI)) 2) (cbrt (PI))) (- (* (pow (cbrt (PI)) 2) (cbrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

simplify151.0ms (1.3%)

Memory

-9.4MiB live, 270.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	243
1	147	240
2	353	236
3	839	232
4	1955	228
5	4532	228
0	8113	208

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
1
(+ 1 (* -5 (pow v 2)))
(* -5 v)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))

Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) v (pow.f64 v #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 #s(literal -4 binary64) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) v (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))))

rewrite209.0ms (1.8%)

Memory

48.4MiB live, 237.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	191
0	65	165
1	249	165
2	1693	165
0	8732	164

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 916

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))))
(.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2/9 binary64))
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(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (PI.f64)))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
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(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/9 binary64)))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

eval166.0ms (1.4%)

Memory: -20.9MiB live, 263.7MiB allocated
Compiler: Compiled 27 272 to 2 671 computations (90.2% saved)

prune108.0ms (0.9%)

Memory

-14.0MiB live, 63.9MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	853	11	864
Fresh	2	5	7
Picked	1	4	5
Done	0	3	3
Total	856	23	879

Accuracy

98.9%

Counts

879 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	94.9%	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	95.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
	95.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	97.3%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	96.4%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	3.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	95.0%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
	3.7%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	95.4%	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	96.5%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.3%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.3%	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.5%	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.8%	(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
✓	98.8%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.8%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
▶	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	96.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 978 to 644 computations (34.2% saved)

simplify219.0ms (1.9%)

Memory

18.5MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
cost-diff	12864	(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff	12864	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
cost-diff	19584	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
cost-diff	0	(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
cost-diff	0	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	6656	(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
cost-diff	12864	(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	384	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff	12864	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 4 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
cost-diff	0	(neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
cost-diff	0	(PI.f64)
cost-diff	320	(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	462
0	100	426
1	182	418
2	333	416
3	924	416
4	2391	416
5	4393	416
6	7821	416
0	8006	415

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(PI.f64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) v)
#s(literal 4 binary64)
v
#s(literal -1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(log.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (cbrt.f64 (PI.f64)))
(neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)

Outputs
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(PI.f64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) v)
#s(literal 4 binary64)
v
#s(literal -1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
(*.f64 #s(literal -5 binary64) v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(log.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (PI.f64))
(cbrt.f64 (cbrt.f64 (PI.f64)))
(neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) v)
#s(literal -4 binary64)
v
#s(literal 1 binary64)

localize679.0ms (5.8%)

Memory

0.3MiB live, 590.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	58.81020699004832	(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
accuracy	0.0234375	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
accuracy	1.58496250072115	(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
accuracy	58.81020699004832	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.7757228372053121	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	57.59709820817099	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) v)
accuracy	0.6070333005289876	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.7757228372053121	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	0.0234375	(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
accuracy	0.6070333005289876	#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
accuracy	0.8491959401788568	(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
accuracy	57.483595347839554	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))

Samples

353.0ms	108×	3	valid
163.0ms	65×	2	valid
63.0ms	72×	1	valid
5.0ms	11×	0	valid

Compiler

Compiled 909 to 119 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-acos: 82.0ms (18.9% of total)

adjust: 64.0ms (14.7% of total)

ival-pow: 53.0ms (12.2% of total)

ival-add: 43.0ms (9.9% of total)

ival-neg: 37.0ms (8.5% of total)

ival-mult: 29.0ms (6.7% of total)

ival-log: 28.0ms (6.4% of total)

ival-sub: 23.0ms (5.3% of total)

ival-asin: 22.0ms (5.1% of total)

ival-div: 20.0ms (4.6% of total)

ival-cbrt: 16.0ms (3.7% of total)

ival-exp: 7.0ms (1.6% of total)

ival-pow2: 6.0ms (1.4% of total)

ival-pi: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

27 → 29

Calls

Call 1

Inputs
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(PI.f64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) v)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))

Outputs
(- (+ (PI) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (* 1/2 (PI)))
(- (* 1/2 (PI)) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(* -1 (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 4 v)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((- (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* 4 v) v) -1) (* 4 v) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (pow (PI) 3) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (+ (* (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3) (cbrt (pow (cbrt (PI)) 2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (cbrt (PI)) (pow (cbrt (PI)) 2))

2.0ms

((- (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* 4 v) v) -1) (* 4 v) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (pow (PI) 3) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (+ (* (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3) (cbrt (pow (cbrt (PI)) 2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (cbrt (PI)) (pow (cbrt (PI)) 2))

1.0ms

-inf

((- (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (PI) (+ (* (PI) 1/2) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (neg (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* 4 v) v) -1) (* 4 v) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (pow (PI) 3) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (+ (* (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (pow (cbrt (PI)) 2)) 3) (pow (cbrt (cbrt (PI))) 3) (cbrt (pow (cbrt (PI)) 2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (cbrt (PI)) (pow (cbrt (PI)) 2))

simplify274.0ms (2.3%)

Memory

-24.4MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	335
1	174	332
2	402	326
3	922	322
4	2211	318
5	5272	318
6	7949	318
0	8643	286

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(- (+ (PI) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (* 1/2 (PI)))
(- (* 1/2 (PI)) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(* -1 (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 4 v)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))

Outputs
(- (+ (PI) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(* -1 (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) v (pow.f64 v #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 v)
(*.f64 #s(literal 4 binary64) v)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 #s(literal -4 binary64) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) v (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* 4 (pow v 2))
(.f64 #s(literal 4 binary64) (.f64 v v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

rewrite321.0ms (2.7%)

Memory

10.4MiB live, 239.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	329
0	100	295
1	398	277
2	2953	273
0	9195	269

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 1 429

Calls

Call 1

Inputs
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(PI.f64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) v)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))

Outputs
(.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (-.f64 (neg.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (-.f64 (neg.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (neg.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (-.f64 (neg.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64))) (.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)))) (.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64))))) (.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))) (.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 3 binary64))))) (.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))) (.f64 (fma.f64 (PI.f64) (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))) #s(literal 2 binary64))))) (.f64 (fma.f64 (PI.f64) (PI.f64) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
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(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/9 binary64)))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 5 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) (log.f64 (cbrt.f64 (PI.f64)))))
(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2/9 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(cbrt.f64 (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 1/9 binary64) (log.f64 (PI.f64))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))))

eval333.0ms (2.8%)

Memory: 16.5MiB live, 289.6MiB allocated
Compiler: Compiled 49 617 to 3 653 computations (92.6% saved)

prune103.0ms (0.9%)

Memory

8.1MiB live, 86.4MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1 093	10	1 103
Fresh	4	7	11
Picked	4	1	5
Done	0	7	7
Total	1 101	25	1 126

Accuracy

98.9%

Counts

1 126 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 9/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	95.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
	95.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	97.3%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	96.4%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
	97.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
	2.8%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	95.0%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
	94.9%	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
	3.7%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	97.8%	(-.f64 (-.f64 (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
✓	96.5%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.9%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 27/2 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	96.5%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	95.4%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.3%	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.3%	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.4%	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.8%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.8%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
✓	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	96.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 664 to 604 computations (63.7% saved)

regimes56.0ms (0.5%)

Memory

-32.6MiB live, 27.0MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(-.f64 (-.f64 (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 27/2 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 9/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64))))))

Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Calls

4 calls:

27.0ms	(*.f64 v v)
10.0ms	v
8.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	1	`v`
98.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes13.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(-.f64 (-.f64 (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

Calls

4 calls:

4.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	1	`v`
98.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes12.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(-.f64 (-.f64 (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))

Outputs
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Calls

4 calls:

3.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	1	`v`
98.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes25.0ms (0.2%)

Memory

-21.9MiB live, 17.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))))
(-.f64 (-.f64 (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))

Outputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))

Calls

4 calls:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.8%	1	`v`
97.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))

Calls

4 calls:

2.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.8%	1	`v`
97.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes12.0ms (0.1%)

Memory

-22.9MiB live, 15.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))

Calls

4 calls:

7.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	v
2.0ms	(*.f64 v v)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.8%	1	`v`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.8%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Calls

4 calls:

1.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.6%	1	`v`
96.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
96.6%	1	`(*.f64 v v)`
96.6%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Calls

4 calls:

1.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
0.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0.0%	1	`v`
0.0%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0.0%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify96.0ms (0.8%)

Memory

-18.9MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	140
1	81	140
2	162	140
3	335	140
4	757	140
5	1775	140
6	3430	140
7	5435	140
8	7219	140

Stop Event

1×	node limit

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

soundness1.2s (10.2%)

Memory

6.4MiB live, 555.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	135
1	100	132
2	268	128
3	658	128
4	2013	126
5	5185	126
0	8109	115
0	58	329
0	100	295
1	398	277
2	2953	273
0	9195	269
0	126	428
1	334	417
2	865	413
3	2861	393
0	8113	351
0	9	47
0	15	47
1	70	47
2	530	47
3	6849	47
0	8017	41
0	41	191
0	65	165
1	249	165
2	1693	165
0	8732	164

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 329 to 164 computations (50.2% saved)

preprocess42.0ms (0.4%)

Memory: 28.8MiB live, 67.4MiB allocated
Remove: (abs v)
Compiler: Compiled 364 to 152 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze550.0ms (4.7%)

sample4.0s (33.9%)

explain232.0ms (2%)

preprocess213.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify183.0ms (1.5%)

localize89.0ms (0.8%)

series5.0ms (0%)

simplify116.0ms (1%)

rewrite173.0ms (1.5%)

eval103.0ms (0.9%)

prune17.0ms (0.1%)

simplify165.0ms (1.4%)

localize457.0ms (3.9%)

series6.0ms (0.1%)

simplify154.0ms (1.3%)

rewrite259.0ms (2.2%)

eval284.0ms (2.4%)

prune113.0ms (1%)

simplify162.0ms (1.4%)

localize456.0ms (3.9%)

series3.0ms (0%)

simplify151.0ms (1.3%)

rewrite209.0ms (1.8%)

eval166.0ms (1.4%)

prune108.0ms (0.9%)

simplify219.0ms (1.9%)

localize679.0ms (5.8%)

series6.0ms (0%)

simplify274.0ms (2.3%)

rewrite321.0ms (2.7%)

eval333.0ms (2.8%)

prune103.0ms (0.9%)

regimes56.0ms (0.5%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes25.0ms (0.2%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify96.0ms (0.8%)

soundness1.2s (10.2%)

preprocess42.0ms (0.4%)

end0.0ms (0%)

Profiling