Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze452.0ms (4.3%)

Memory

28.6MiB live, 456.7MiB 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)

sample4.3s (40.6%)

Memory

44.9MiB live, 5 184.6MiB allocated

Samples

1.4s	3 656×	3	valid
746.0ms	2 076×	2	valid
673.0ms	8 182×	0	invalid
367.0ms	2 211×	1	valid
22.0ms	313×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-mult: 652.0ms (26.2% of total)

ival-acos: 607.0ms (24.4% of total)

adjust: 460.0ms (18.5% of total)

ival-sub: 410.0ms (16.5% of total)

ival-div: 327.0ms (13.1% of total)

exact: 15.0ms (0.6% of total)

ival-true: 13.0ms (0.5% of total)

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

Bogosity

explain352.0ms (3.3%)

Memory

-16.7MiB live, 282.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
8	246	(3.3960070269709394e-207)	-	`(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	254	0

Confusion

	Predicted +	Predicted -
+	8	0
-	246	2

Precision

0.031496062992125984

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	246	0	2

Precision?

0.031496062992125984

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms	216×	3	valid
38.0ms	128×	2	valid
24.0ms	156×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sub: 54.0ms (42.9% of total)

ival-acos: 27.0ms (21.5% of total)

adjust: 21.0ms (16.7% of total)

ival-div: 12.0ms (9.5% of total)

ival-mult: 11.0ms (8.7% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess296.0ms (2.8%)

Memory

5.1MiB live, 200.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
2 288×	`lower-*.f32`
2 284×	`lower-*.f64`
2 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	40	29
2	128	29
3	476	29
4	2060	29
5	4075	29
6	4981	29
7	5309	29
8	6991	29
0	9	14
0	15	14
1	35	14
2	80	14
3	206	14
4	584	14
5	1243	14
6	2501	14
7	3907	14
8	5721	14
9	7419	14
10	7976	14
0	8080	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: 0.4MiB live, 0.4MiB 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
▶	99.1%	(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 14 to 9 computations (35.7% saved)

simplify160.0ms (1.5%)

Memory

4.3MiB live, 123.3MiB 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)))

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
2 288×	`lower-*.f32`
2 284×	`lower-*.f64`
2 140×	`lower-+.f64`

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	584	50
5	1243	50
6	2501	50
7	3907	50
8	5721	50
9	7419	50
10	7976	50
0	8080	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))

localize125.0ms (1.2%)

Memory

-35.4MiB live, 180.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 v v)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.22007753907376806	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.5570246730714986	(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

42.0ms	108×	3	valid
14.0ms	64×	2	valid
12.0ms	78×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-acos: 15.0ms (28.5% of total)

ival-mult: 11.0ms (20.9% of total)

adjust: 10.0ms (19% of total)

ival-div: 8.0ms (15.2% of total)

ival-sub: 7.0ms (13.3% 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

11.6MiB live, 11.6MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
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))
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))

Time

Variable

Point

Expression

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))

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))

simplify114.0ms (1.1%)

Memory

21.7MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
4 212×	`lower-*.f64`
4 212×	`lower-*.f32`
1 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	655	506
4	2002	504
5	5117	504
0	8077	457

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

rewrite168.0ms (1.6%)

Memory

-26.1MiB live, 292.1MiB allocated

Rules

4 956×	`lower-fma.f64`
4 956×	`lower-fma.f32`
4 584×	`lower-*.f32`
4 580×	`lower-*.f64`
3 506×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	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
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eval123.0ms (1.2%)

Memory: 29.2MiB live, 191.4MiB allocated
Compiler: Compiled 17 406 to 2 200 computations (87.4% saved)

prune14.0ms (0.1%)

Memory

-26.5MiB live, 49.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	693	6	699
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	694	6	700

Accuracy

99.1%

Counts

700 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(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)))))
▶	99.1%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.4%	(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)))
▶	98.5%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
▶	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 150 to 114 computations (24% saved)

simplify126.0ms (1.2%)

Memory

17.8MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 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 #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
cost-diff	320	(*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 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 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))))

Rules

9 290×	`lower-fma.f32`
9 282×	`lower-fma.f64`
2 526×	`lower-*.f32`
2 520×	`lower-*.f64`
2 234×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	245
0	57	219
1	104	219
2	204	219
3	443	219
4	1239	219
5	2296	219
6	3927	219
7	6624	219
0	8148	219

Stop Event

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

Calls

Call 1

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

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

localize311.0ms (3%)

Memory

-2.5MiB live, 513.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 v v)
accuracy	0.0078125	(/.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	0.01953125	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))
accuracy	0.5570246730714986	(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	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))
accuracy	0.01953125	(*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
accuracy	0.22007753907376806	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.5570246730714986	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
accuracy	0	(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
accuracy	0	(*.f64 v v)
accuracy	0.2702158287836085	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
accuracy	0.5570246730714986	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
accuracy	0.36398066260333517	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.5570246730714986	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0	(*.f64 v v)
accuracy	0.00390625	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.5570246730714986	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

176.0ms	108×	3	valid
52.0ms	64×	2	valid
41.0ms	78×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 240 to 32 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-acos: 60.0ms (28.9% of total)

ival-mult: 49.0ms (23.6% of total)

adjust: 38.0ms (18.3% of total)

ival-div: 28.0ms (13.5% of total)

ival-add: 17.0ms (8.2% of total)

ival-sub: 14.0ms (6.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series16.0ms (0.1%)

Memory

-3.0MiB live, 32.5MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())

Outputs
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (- v 1) (+ v 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1))) (/ (/ (+ (* (* 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) (* 5 (* v v)))

2.0ms

-inf

((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (- v 1) (+ v 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1))) (/ (/ (+ (* (* 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) (* 5 (* v v)))

1.0ms

((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* (- v 1) (+ v 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (+ v 1))) (/ (/ (+ (* (* 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) (* 5 (* v v)))

simplify152.0ms (1.4%)

Memory

19.8MiB live, 213.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 050×	`lower-fma.f64`
12 050×	`lower-fma.f32`
4 054×	`lower-*.f64`
4 054×	`lower-*.f32`
2 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2024
1	310	1986
2	877	1966
3	2909	1950
0	8317	1746

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite185.0ms (1.8%)

Memory

-18.3MiB live, 302.1MiB allocated

Rules

4 648×	`lower-/.f32`
4 642×	`lower-/.f64`
4 364×	`lower-fma.f32`
4 356×	`lower-fma.f64`
3 408×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	205
0	57	179
1	239	179
2	1793	179
0	8507	179

Stop Event

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

Counts

18 → 1 412

Calls

Call 1

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

Outputs
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eval470.0ms (4.5%)

Memory: -168.8MiB live, 464.5MiB allocated
Compiler: Compiled 42 670 to 3 879 computations (90.9% saved)

prune25.0ms (0.2%)

Memory

7.9MiB live, 85.2MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 692	2	1 694
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 694	6	1 700

Accuracy

99.1%

Counts

1 700 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(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)))))
▶	98.5%	(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
✓	99.1%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.6%	(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))
✓	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 72 to 55 computations (23.6% saved)

simplify154.0ms (1.5%)

Memory

-19.7MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
cost-diff	320	(*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))
cost-diff	0	(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))

Rules

11 328×	`lower-fma.f32`
11 316×	`lower-fma.f64`
2 706×	`lower-*.f32`
2 700×	`lower-*.f64`
2 528×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	208
0	60	199
1	97	194
2	151	194
3	228	194
4	397	194
5	724	194
6	1599	194
7	3769	194
8	5878	194
9	7620	194
0	8168	193

Stop Event

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

Calls

Call 1

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

localize233.0ms (2.2%)

Memory

3.3MiB live, 311.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(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)))))
accuracy	0.5905591582231378	(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	(*.f64 v v)
accuracy	0.00390625	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))
accuracy	0.01953125	(*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
accuracy	0.5570246730714986	(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
accuracy	0	(-.f64 #s(literal 1 binary64) v)
accuracy	0.0078125	(/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))
accuracy	0.3094891563040311	#s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)))
accuracy	0.5570246730714986	(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))

Samples

106.0ms	108×	3	valid
45.0ms	64×	2	valid
41.0ms	78×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 204 to 37 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

adjust: 36.0ms (22.9% of total)

ival-acos: 27.0ms (17.2% of total)

ival-div: 23.0ms (14.7% of total)

ival-mult: 22.0ms (14% of total)

ival-add: 21.0ms (13.4% of total)

ival-asin: 11.0ms (7% of total)

ival-sub: 6.0ms (3.8% of total)

ival-pow2: 5.0ms (3.2% of total)

ival-cbrt: 3.0ms (1.9% of total)

ival-pi: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series9.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

15 → 144

Calls

Call 1

Inputs
#s(alt (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) v) (patch (-.f64 #s(literal 1 binary64) v) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch (acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- v 1) (taylor 0 v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* v (+ 1 (* 4 v))) 1) (taylor 0 v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1) (taylor 0 v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- v 1) (taylor 0 v) (#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* v (+ 1 (* 4 v))) 1) (taylor 0 v) (#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* v (+ 1 (* 4 v))) 1) (taylor 0 v) (#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (patch (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 v) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) v) (patch (-.f64 #s(literal 1 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1 (/ 1 v)))) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) v) (patch (-.f64 #s(literal 1 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1 (/ 1 v)))) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) v) (patch (-.f64 #s(literal 1 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1 (/ 1 v)))) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) v) (patch (-.f64 #s(literal 1 binary64) v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (+ (* 4 v) 1) v) -1) (* (- v 1) (+ v 1)) (acos (/ (+ (* (* v v) -5) 1) (* (- v 1) (+ v 1)))) (/ (+ (* (* v v) -5) 1) (* (- v 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)) (PI) (- 1 v) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

1.0ms

((acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (+ (* 4 v) 1) v) -1) (* (- v 1) (+ v 1)) (acos (/ (+ (* (* v v) -5) 1) (* (- v 1) (+ v 1)))) (/ (+ (* (* v v) -5) 1) (* (- v 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)) (PI) (- 1 v) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

1.0ms

inf

((acos (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v))) (/ (/ (+ (* (* v v) 5) -1) (+ v 1)) (- 1 v)) (/ (+ (* (* v v) 5) -1) (+ v 1)) (+ (* (+ (* 4 v) 1) v) -1) (* (- v 1) (+ v 1)) (acos (/ (+ (* (* v v) -5) 1) (* (- v 1) (+ v 1)))) (/ (+ (* (* v v) -5) 1) (* (- v 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)) (PI) (- 1 v) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

simplify158.0ms (1.5%)

Memory

-7.1MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
3 862×	`lower-*.f64`
3 862×	`lower-*.f32`
2 016×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1410
1	353	1390
2	999	1326
3	3300	1314
4	7566	1314
0	8198	1151

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite262.0ms (2.5%)

Memory

-6.8MiB live, 183.6MiB allocated

Rules

5 440×	`lower-fma.f32`
5 428×	`lower-fma.f64`
4 644×	`lower-*.f32`
4 638×	`lower-*.f64`
4 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	158
0	60	144
1	242	144
2	1818	144
0	8596	142

Stop Event

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

Counts

15 → 753

Calls

Call 1

Inputs
(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))
#s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))
(*.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #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))
(PI.f64)
(-.f64 #s(literal 1 binary64) v)
(*.f64 v v)
(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
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eval228.0ms (2.2%)

Memory: 35.4MiB live, 222.2MiB allocated
Compiler: Compiled 27 879 to 3 318 computations (88.1% saved)

prune77.0ms (0.7%)

Memory

-32.5MiB live, 54.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	973	2	975
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	973	8	981

Accuracy

99.1%

Counts

981 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))))
✓	97.6%	(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)))))
▶	99.1%	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))))
✓	98.5%	(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
✓	99.1%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.6%	(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))
✓	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 162 to 97 computations (40.1% saved)

simplify270.0ms (2.6%)

Memory

-16.4MiB live, 200.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	1600	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))))))
cost-diff	20288	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))))
cost-diff	320	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))
cost-diff	448	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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))))
cost-diff	7168	(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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)))))

Rules

12 470×	`lower-fma.f32`
12 458×	`lower-fma.f64`
3 658×	`lower-/.f32`
3 658×	`lower-*.f32`
3 652×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	369
0	60	367
1	117	352
2	256	346
3	810	346
4	2957	330
5	6763	330
0	8719	323

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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)))))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 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)))))
#s(literal 1/2 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))
(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 2 binary64) (PI.f64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (.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 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))))
(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)
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))
(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
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal -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)))) #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)))) (PI.f64)) (fma.f64 (/.f64 #s(literal 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)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -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)))) #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)))) (PI.f64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 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)))))
(fma.f64 (PI.f64) #s(literal 1/2 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 1/2 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))
(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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))))
(fma.f64 (/.f64 #s(literal -2 binary64) (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)) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.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 (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 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))
(fma.f64 (/.f64 #s(literal 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)))) #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)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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 (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)))))
(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)
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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 (.f64 (PI.f64) #s(literal 1/2 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)))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))
(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)))))
(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))

localize370.0ms (3.5%)

Memory

32.9MiB live, 231.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	60.172749300665224	(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	0.01171875	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))
accuracy	0.01953125	(fma.f64 #s(literal 1/2 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)))))
accuracy	0.27962875976844204	(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))
accuracy	60.172749300665224	(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

201.0ms	107×	2	valid
73.0ms	144×	1	valid
23.0ms	5×	0	valid

Compiler

Compiled 419 to 38 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-div: 79.0ms (34.8% of total)

ival-mult: 65.0ms (28.6% of total)

ival-acos: 24.0ms (10.6% of total)

adjust: 19.0ms (8.4% of total)

ival-add: 16.0ms (7% of total)

ival-pow2: 10.0ms (4.4% of total)

ival-sub: 3.0ms (1.3% of total)

ival-sqrt: 3.0ms (1.3% of total)

ival-cbrt: 3.0ms (1.3% of total)

ival-pi: 2.0ms (0.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series26.0ms (0.2%)

Memory

-7.6MiB live, 27.9MiB allocated

Counts

12 → 108

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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))))) (patch (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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)))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))) (patch (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 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))))) (patch (fma.f64 #s(literal 1/2 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))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())

Outputs
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#s(alt (+ (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 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))))) (patch (fma.f64 #s(literal 1/2 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 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))))) (patch (fma.f64 #s(literal 1/2 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))))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

((+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (/ (+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)))

4.0ms

inf

((+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (/ (+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)))

2.0ms

-inf

((+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (/ (+ (* 1 (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (* (/ 2 (PI)) (- (* 1/4 (* (PI) (PI))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2)))) (* (/ 2 (PI)) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (pow (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (+ (* 1/2 (PI)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)))

simplify217.0ms (2.1%)

Memory

4.0MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 910×	`lower-fma.f64`
15 910×	`lower-fma.f32`
6 506×	`lower-*.f64`
6 506×	`lower-*.f32`
1 404×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	2916
1	75	2916
2	175	2916
3	464	2820
4	1120	2664
5	4888	2652
0	8153	2304

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite353.0ms (3.4%)

Memory

3.9MiB live, 321.2MiB allocated

Rules

11 822×	`lower-fma.f32`
11 810×	`lower-fma.f64`
3 750×	`lower-*.f32`
3 736×	`lower-*.f64`
3 146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	243
0	60	228
1	267	213
2	2227	210
0	8569	204

Stop Event

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

Counts

12 → 743

Calls

Call 1

Inputs
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.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 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 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)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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))))))
(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 (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))
(fma.f64 #s(literal 1/2 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)))))
(sqrt.f64 (PI.f64))

Outputs
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eval292.0ms (2.8%)

Memory: 9.6MiB live, 434.4MiB allocated
Compiler: Compiled 75 716 to 3 382 computations (95.5% saved)

prune40.0ms (0.4%)

Memory

-37.1MiB live, 111.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 198	6	1 204
Fresh	0	0	0
Picked	2	0	2
Done	1	5	6
Total	1 201	11	1 212

Accuracy

99.1%

Counts

1 212 → 11

Alt Table

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Status	Accuracy	Program
	96.1%	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 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)))))))
	96.7%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 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))))))
	97.6%	(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
	97.6%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))
	96.1%	(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
	1.0%	(/.f64 (-.f64 (pow.f64 (-.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))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (neg.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 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 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)))) #s(literal 1 binary64)) (-.f64 (-.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 (PI.f64) #s(literal 1/2 binary64) (.f64 (neg.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 #s(literal 2 binary64) (PI.f64)))))))
✓	98.5%	(acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))))
✓	99.1%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.6%	(acos.f64 (/.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ v 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 1 binary64)) v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v)))
✓	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 692 to 242 computations (65% saved)

regimes26.0ms (0.3%)

Memory

6.7MiB live, 45.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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:

13.0ms	v
4.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
4.0ms	(/.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
99.1%	1	`v`
99.1%	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))))`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes7.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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:

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)))
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))))

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	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))))`
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0.1%)

Memory

-20.9MiB live, 16.5MiB 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 -1 binary64)))

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

Calls

4 calls:

3.0ms	(*.f64 v v)
1.0ms	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)))
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))))

Results

Accuracy	Segments	Branch
98.5%	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))))`
98.5%	1	`v`
98.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.5%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify55.0ms (0.5%)

Memory

18.3MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	24	49

Stop Event

1×

saturated

Calls

Call 1

Inputs

(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 #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)))

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))))

(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)))

soundness316.0ms (3%)

Memory

-21.9MiB live, 294.3MiB allocated

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
4 956×	`lower-fma.f64`
4 956×	`lower-fma.f32`
4 584×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	41
0	39	516
1	100	510
2	269	506
3	655	506
4	2002	504
5	5117	504
0	8077	457

Stop Event

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

Compiler

Compiled 71 to 41 computations (42.3% saved)

preprocess53.0ms (0.5%)

Memory: 1.8MiB live, 85.4MiB allocated
Remove: (abs v)
Compiler: Compiled 98 to 66 computations (32.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze452.0ms (4.3%)

sample4.3s (40.6%)

explain352.0ms (3.3%)

preprocess296.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (1.5%)

localize125.0ms (1.2%)

series5.0ms (0%)

simplify114.0ms (1.1%)

rewrite168.0ms (1.6%)

eval123.0ms (1.2%)

prune14.0ms (0.1%)

simplify126.0ms (1.2%)

localize311.0ms (3%)

series16.0ms (0.1%)

simplify152.0ms (1.4%)

rewrite185.0ms (1.8%)

eval470.0ms (4.5%)

prune25.0ms (0.2%)

simplify154.0ms (1.5%)

localize233.0ms (2.2%)

series9.0ms (0.1%)

simplify158.0ms (1.5%)

rewrite262.0ms (2.5%)

eval228.0ms (2.2%)

prune77.0ms (0.7%)

simplify270.0ms (2.6%)

localize370.0ms (3.5%)

series26.0ms (0.2%)

simplify217.0ms (2.1%)

rewrite353.0ms (3.4%)

eval292.0ms (2.8%)

prune40.0ms (0.4%)

regimes26.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify55.0ms (0.5%)

soundness316.0ms (3%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling