Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.5s (14.6%)

Memory

-162.4MiB live, 735.6MiB allocated; 1.5s collecting garbage

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)

sample5.0s (50.3%)

Memory

174.9MiB live, 6 468.8MiB allocated; 1.5s collecting garbage

Samples

1.8s	3 792×	3	valid
1.3s	8 244×	0	invalid
600.0ms	2 032×	2	valid
469.0ms	2 272×	1	valid
11.0ms	160×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-mult: 696.0ms (23.3% of total)

ival-acos: 675.0ms (22.6% of total)

adjust: 672.0ms (22.5% of total)

ival-sub: 474.0ms (15.9% of total)

ival-div: 431.0ms (14.4% of total)

exact: 18.0ms (0.6% of total)

ival-true: 15.0ms (0.5% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain322.0ms (3.2%)

Memory

-4.8MiB live, 372.5MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
7	247	(-1.455111386057965e-170)	-	`(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 -
+	7	0
-	247	2

Precision

0.027559055118110236

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	247	0	2

Precision?

0.027559055118110236

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

136.0ms	240×	3	valid
30.0ms	124×	2	valid
24.0ms	142×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

adjust: 83.0ms (52.1% of total)

ival-acos: 27.0ms (16.9% of total)

ival-div: 18.0ms (11.3% of total)

ival-sub: 16.0ms (10% of total)

ival-mult: 14.0ms (8.8% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

preprocess200.0ms (2%)

Memory

24.4MiB live, 168.7MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	35	29
2	132	29
3	506	29
4	2075	29
5	4902	29
6	6528	29
7	7637	29
0	9	14
0	15	14
1	34	14
2	107	14
3	532	14
4	2059	14
5	4993	14
6	6844	14
0	8005	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(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)

simplify115.0ms (1.2%)

Memory

-38.0MiB live, 98.9MiB allocated; 8ms collecting garbage

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	1	(-.f64 (*.f64 v v) #s(literal 1 binary64))
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	50
0	15	50
1	34	50
2	107	50
3	532	50
4	2059	50
5	4993	50
6	6844	50
0	8005	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))

localize138.0ms (1.4%)

Memory

3.2MiB live, 105.0MiB allocated; 33ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
accuracy	0.20349506837909412	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.42275149771585196	(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

79.0ms	120×	3	valid
15.0ms	62×	2	valid
12.0ms	71×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-sub: 33.0ms (36.7% of total)

ival-acos: 23.0ms (25.6% of total)

adjust: 20.0ms (22.2% of total)

ival-mult: 7.0ms (7.8% of total)

ival-div: 6.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

5 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
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)))
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)))
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)))

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)))

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)))

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)))

simplify129.0ms (1.3%)

Memory

21.1MiB live, 162.2MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	145
1	106	142
2	324	138
3	1271	138
4	5712	136
0	8293	130

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite179.0ms (1.8%)

Memory

-13.9MiB live, 262.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	15	44
1	67	44
2	500	44
3	6524	44
0	8132	38

Stop Event

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

Counts

5 → 511

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))

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

eval71.0ms (0.7%)

Memory: 14.5MiB live, 159.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 13 619 to 1 790 computations (86.9% saved)

prune11.0ms (0.1%)

Memory

-8.9MiB live, 35.6MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	523	5	528
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	5	529

Accuracy

99.3%

Counts

529 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	99.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
▶	98.7%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
▶	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
▶	0.0%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Compiler

Compiled 162 to 116 computations (28.4% saved)

simplify158.0ms (1.6%)

Memory

-14.0MiB live, 102.5MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	247
0	52	227
1	93	227
2	233	227
3	865	227
4	2921	227
5	5204	227
6	7175	227
7	7919	227
0	8359	227

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

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

localize275.0ms (2.8%)

Memory

-0.0MiB live, 324.5MiB allocated; 37ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))
accuracy	0.006191259768442017	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
accuracy	0.42275149771585196	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
accuracy	0.20349506837909412	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.4074035268137106	#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy	0.42275149771585196	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
accuracy	0.0078125	(-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))
accuracy	0.040390039073768064	(.f64 #s(literal 4 binary64) (.f64 v v))
accuracy	0.34540404911640915	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64)))
accuracy	0.42275149771585196	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
accuracy	0.42275149771585196	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy	53.208317748821386	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy	0.0	(*.f64 v v)
accuracy	0.006191259768442017	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.42275149771585196	(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

112.0ms	120×	3	valid
88.0ms	62×	2	valid
38.0ms	71×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 233 to 26 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 54.0ms (31% of total)

adjust: 43.0ms (24.7% of total)

ival-acos: 39.0ms (22.4% of total)

ival-sub: 13.0ms (7.5% of total)

ival-mult: 13.0ms (7.5% of total)

ival-add: 11.0ms (6.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

18 → 32

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-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) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1)) (acos (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1))) (/ (+ (* -5 (* v v)) 1) (- v 1)) (- (* v v) 1))
2.0ms	v	@	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) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1)) (acos (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1))) (/ (+ (* -5 (* v v)) 1) (- v 1)) (- (* v v) 1))
1.0ms	v	@	0	((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) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1)) (acos (/ (/ (+ (* -5 (* v v)) 1) (- v 1)) (+ v 1))) (/ (+ (* -5 (* v v)) 1) (- v 1)) (- (* v v) 1))

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

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

1.0ms

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

simplify202.0ms (2%)

Memory

18.2MiB live, 160.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	314
1	285	307
2	951	296
3	3888	288
0	8223	267

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite255.0ms (2.5%)

Memory

6.6MiB live, 241.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	207
0	52	187
1	188	187
2	1329	187
0	8337	187

Stop Event

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

Counts

18 → 887

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (neg.f64 (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 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (fma.f64 v v (+.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) #s(literal 1 binary64)))
(.f64 (/.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 v v #s(literal -1 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v (+.f64 #s(literal 1 binary64) v))))
(.f64 (/.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 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 v v (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v 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 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 v v))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v))) (.f64 (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)))) (-.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))) (.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) v))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 5 binary64) (.f64 v v)))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (-.f64 v #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 #s(literal 5 binary64) (.f64 v v))))) (neg.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (fma.f64 v v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) (.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) v)))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))) (.f64 (-.f64 v #s(literal 1 binary64)) (neg.f64 (.f64 #s(literal 5 binary64) (.f64 v v))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))
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(fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 v #s(literal -5 binary64)) (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (-.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 v v (+.f64 #s(literal 1 binary64) v)) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) v)) #s(literal -5 binary64)) (/.f64 v (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -5 binary64) (+.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 v v) (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -5 binary64) (/.f64 (-.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) v) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -5 binary64) (-.f64 v #s(literal 1 binary64))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (-.f64 v #s(literal 1 binary64))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v #s(literal -5 binary64))) v) (-.f64 v #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal -5 binary64)) (-.f64 v #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (-.f64 v #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -5 binary64) (-.f64 v #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (-.f64 v #s(literal 1 binary64))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 v #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))
(+.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (-.f64 v #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (-.f64 v #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 v #s(literal -5 binary64)) (/.f64 v (-.f64 v #s(literal 1 binary64)))) (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (* v v) 1) #s(literal -1 binary64))

eval179.0ms (1.8%)

Memory: -40.9MiB live, 166.5MiB allocated; 41ms collecting garbage
Compiler: Compiled 23 608 to 2 984 computations (87.4% saved)

prune28.0ms (0.3%)

Memory

-17.5MiB live, 39.9MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	772	1	773
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	773	5	778

Accuracy

99.3%

Counts

778 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
✓	98.7%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
▶	98.6%	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))

Compiler

Compiled 81 to 59 computations (27.2% saved)

simplify90.0ms (0.9%)

Memory

47.9MiB live, 95.3MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	12	32
1	29	32
2	101	32
3	455	32
4	1775	32
5	4813	32
6	6740	32
0	8030	28

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.7%)

Memory

-8.6MiB live, 81.1MiB allocated; 9ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.42275149771585196	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))
accuracy	0.4846757493198494	#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))

Samples

75.0ms	62×	2	valid
41.0ms	120×	3	valid
39.0ms	71×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-acos: 74.0ms (51.4% of total)

adjust: 48.0ms (33.3% of total)

ival-add: 8.0ms (5.6% of total)

ival-mult: 7.0ms (4.9% of total)

ival-div: 6.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Counts

2 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify141.0ms (1.4%)

Memory

-26.2MiB live, 114.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	111
1	104	108
2	315	104
3	1249	104
4	5692	102
0	8275	96

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite231.0ms (2.3%)

Memory

27.4MiB live, 125.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	12	31
1	64	31
2	490	31
3	6165	31
0	8074	27

Stop Event

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

Counts

2 → 10

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 89 computations (87.4% saved)

prune3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	18	5	23

Accuracy

99.3%

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
✓	98.7%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
✓	98.6%	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))

Compiler

Compiled 192 to 104 computations (45.8% saved)

regimes42.0ms (0.4%)

Memory

-28.8MiB live, 14.3MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 v v)`
99.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.3%	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))))`
99.3%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 v v)`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.9%	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))))`
98.9%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Accuracy

Total -63.1b remaining (-6945.2%)

Threshold costs -63.1b (-6945.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f64 v v)`
98.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.6%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.6%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify113.0ms (1.1%)

Memory

-19.0MiB live, 69.9MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	50
1	57	50
2	175	50
3	836	50
4	3458	50
5	6144	50

Stop Event

1×	node 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))))

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

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

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

derivations415.0ms (4.2%)

Memory

-19.1MiB live, 328.6MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	145
1	106	142
2	324	138
3	1271	138
4	5712	136
0	8293	130
0	9	44
0	15	44
1	67	44
2	500	44
3	6524	44
0	8132	38
0	97	314
1	285	307
2	951	296
3	3888	288
0	8223	267

Stop Event

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

Compiler

Compiled 50 to 29 computations (42% saved)

preprocess24.0ms (0.2%)

Memory: 38.6MiB live, 38.6MiB allocated; 0ms collecting garbage
Remove: (abs v)
Compiler: Compiled 152 to 94 computations (38.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.5s (14.6%)

sample5.0s (50.3%)

explain322.0ms (3.2%)

preprocess200.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify115.0ms (1.2%)

localize138.0ms (1.4%)

series3.0ms (0%)

simplify129.0ms (1.3%)

rewrite179.0ms (1.8%)

eval71.0ms (0.7%)

prune11.0ms (0.1%)

simplify158.0ms (1.6%)

localize275.0ms (2.8%)

series6.0ms (0.1%)

simplify202.0ms (2%)

rewrite255.0ms (2.5%)

eval179.0ms (1.8%)

prune28.0ms (0.3%)

simplify90.0ms (0.9%)

localize165.0ms (1.7%)

series1.0ms (0%)

simplify141.0ms (1.4%)

rewrite231.0ms (2.3%)

eval2.0ms (0%)

prune3.0ms (0%)

regimes42.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

simplify113.0ms (1.1%)

derivations415.0ms (4.2%)

preprocess24.0ms (0.2%)

end0.0ms (0%)

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