Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze566.0ms (4.9%)

Memory

20.5MiB live, 598.5MiB allocated; 116ms 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)

sample5.7s (48.9%)

Memory

-137.7MiB live, 6 421.9MiB allocated; 2.7s collecting garbage

Samples

2.8s	3 863×	3	valid
842.0ms	8 076×	0	invalid
686.0ms	1 996×	2	valid
461.0ms	2 209×	1	valid
17.0ms	188×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-sub: 1.7s (40.8% of total)

ival-acos: 731.0ms (17.9% of total)

adjust: 653.0ms (16% of total)

ival-mult: 644.0ms (15.8% of total)

ival-div: 350.0ms (8.6% of total)

exact: 18.0ms (0.4% of total)

ival-true: 13.0ms (0.3% of total)

ival-assert: 8.0ms (0.2% of total)

Bogosity

explain284.0ms (2.5%)

Memory

1.4MiB live, 421.1MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
7	248	(-2.3136982670823457e-92)	-	`(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	255	0

Confusion

	Predicted +	Predicted -
+	7	0
-	248	1

Precision

0.027450980392156862

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	248	0	1

Precision?

0.027450980392156862

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms	228×	3	valid
51.0ms	140×	2	valid
22.0ms	134×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

adjust: 34.0ms (27.7% of total)

ival-mult: 31.0ms (25.2% of total)

ival-acos: 27.0ms (22% of total)

ival-sub: 16.0ms (13% of total)

ival-div: 13.0ms (10.6% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess160.0ms (1.4%)

Memory

9.4MiB live, 153.9MiB allocated; 24ms 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(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)

simplify104.0ms (0.9%)

Memory

22.5MiB live, 111.2MiB 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))

localize133.0ms (1.1%)

Memory

7.0MiB live, 116.9MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 v v)
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	0.17644501953688405	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.38312555404466475	(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

54.0ms	114×	3	valid
21.0ms	70×	2	valid
11.0ms	67×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sub: 25.0ms (37.7% of total)

adjust: 14.0ms (21.1% of total)

ival-acos: 14.0ms (21.1% of total)

ival-mult: 7.0ms (10.6% of total)

ival-div: 6.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-40.6MiB live, 5.1MiB allocated; 4ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	-inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

Time

Variable

Point

Expression

5.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify121.0ms (1%)

Memory

39.3MiB live, 138.9MiB allocated; 16ms 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))
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))

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

rewrite182.0ms (1.6%)

Memory

-30.0MiB live, 248.5MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	67	47
2	500	47
3	6524	47
0	8132	41

Stop Event

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

Counts

6 → 530

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -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)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(.f64 #s(literal 1 binary64) (.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 v))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))))

eval88.0ms (0.8%)

Memory: 41.4MiB live, 86.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 14 273 to 1 943 computations (86.4% saved)

prune17.0ms (0.1%)

Memory

-14.7MiB live, 35.1MiB allocated; 15ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	561	6	567
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	562	6	568

Accuracy

99.4%

Counts

568 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.9%	(/.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 (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) #s(literal 2 binary64))))
▶	99.4%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	99.4%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.6%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
▶	99.1%	(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 234 to 150 computations (35.9% saved)

simplify81.0ms (0.7%)

Memory

19.2MiB live, 104.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	55	230
1	101	230
2	232	230
3	905	230
4	2960	230
5	5954	230
0	8192	230

Stop Event

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

Calls

Call 1

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

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

localize363.0ms (3.1%)

Memory

-44.7MiB live, 395.9MiB allocated; 62ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.0	(*.f64 v v)
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	0.38312555404466475	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
accuracy	0.17644501953688405	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.38312555404466475	(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	0.4920578427346456	#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy	0.0	(*.f64 v v)
accuracy	0.029628759768442016	(.f64 #s(literal 4 binary64) (.f64 v v))
accuracy	0.2232556990980073	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64)))
accuracy	0.38312555404466475	(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	0.38312555404466475	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy	53.17301441220252	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.00390625	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	59.75525473396754	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

239.0ms	120×	3	valid
48.0ms	69×	2	valid
30.0ms	66×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 234 to 28 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-acos: 80.0ms (29.1% of total)

adjust: 61.0ms (22.2% of total)

ival-mult: 56.0ms (20.4% of total)

ival-sub: 39.0ms (14.2% of total)

ival-div: 25.0ms (9.1% of total)

ival-add: 12.0ms (4.4% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series5.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

19 → 29

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify120.0ms (1%)

Memory

-10.2MiB live, 133.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	284
1	158	281
2	451	277
3	1629	273
4	6754	271
0	8112	256

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite191.0ms (1.7%)

Memory

25.3MiB live, 257.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	55	191
1	219	191
2	1451	191
0	8313	191

Stop Event

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

Counts

19 → 710

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 5 binary64) 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 (.f64 #s(literal 5 binary64) 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 (neg.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))
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(fma.f64 (.f64 #s(literal 5 binary64) v) (.f64 v #s(literal -1 binary64)) #s(literal 1 binary64))
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(fma.f64 v (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64))
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(*.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 v))))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(.f64 (.f64 v v) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v v))
(.f64 v (fabs.f64 (.f64 (neg.f64 v) #s(literal 1 binary64))))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(neg.f64 (*.f64 v (neg.f64 v)))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v (neg.f64 v)))
(fabs.f64 (neg.f64 (*.f64 v v)))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))))
#s(approx (- (* v v) 1) #s(literal -1 binary64))

eval181.0ms (1.6%)

Memory: -22.8MiB live, 224.9MiB allocated; 35ms collecting garbage
Compiler: Compiled 21 116 to 2 786 computations (86.8% saved)

prune17.0ms (0.1%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	689	9	698
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	692	12	704

Accuracy

99.4%

Counts

704 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
	95.1%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.0%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.9%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.9%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	99.4%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	99.1%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	98.6%	(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))))
✓	99.4%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
▶	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 472 to 296 computations (37.3% saved)

simplify118.0ms (1%)

Memory

-4.3MiB live, 87.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (PI.f64) #s(literal 3/2 binary64))
cost-diff	0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
cost-diff	0	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	6	(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	4	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	321
0	65	299
1	115	299
2	254	299
3	861	299
4	2700	299
5	5668	299
6	7693	299
0	8082	297

Stop Event

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

Calls

Call 1

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

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

localize393.0ms (3.4%)

Memory

-10.5MiB live, 570.2MiB allocated; 82ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	1.0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	59.75525473396754	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	59.75525473396754	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	59.75525473396754	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.38312555404466475	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	0.5383634645556276	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.00390625	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
accuracy	0.2232556990980073	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	59.75525473396754	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))

Samples

214.0ms	120×	3	valid
68.0ms	66×	1	valid
63.0ms	69×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 329 to 36 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

adjust: 104.0ms (38.9% of total)

ival-acos: 37.0ms (13.8% of total)

ival-mult: 34.0ms (12.7% of total)

ival-div: 28.0ms (10.5% of total)

ival-sub: 21.0ms (7.8% of total)

ival-add: 10.0ms (3.7% of total)

ival-pow: 10.0ms (3.7% of total)

ival-pi: 7.0ms (2.6% of total)

ival-pow2: 7.0ms (2.6% of total)

ival-cbrt: 6.0ms (2.2% of total)

ival-sqrt: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

19 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

simplify106.0ms (0.9%)

Memory

8.6MiB live, 146.6MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	207
1	142	204
2	420	200
3	1554	196
4	6548	194
0	8153	183

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite266.0ms (2.3%)

Memory

-36.9MiB live, 155.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	209
0	65	168
1	250	165
2	1670	165
0	9136	162

Stop Event

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

Counts

19 → 662

Calls

Call 1

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

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

eval240.0ms (2.1%)

Memory: 26.4MiB live, 170.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 35 495 to 3 336 computations (90.6% saved)

prune38.0ms (0.3%)

Memory

16.3MiB live, 61.1MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 145	7	1 152
Fresh	1	3	4
Picked	0	5	5
Done	0	3	3
Total	1 146	18	1 164

Accuracy

99.4%

Counts

1 164 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
▶	96.0%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	95.9%	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.1%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.0%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.7%	(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 9/4 binary64)))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	97.9%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.5%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	96.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))))
✓	96.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.1%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64)))))
	97.5%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	99.4%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	99.1%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	98.6%	(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))))
✓	99.4%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 719 to 474 computations (34.1% saved)

simplify127.0ms (1.1%)

Memory

-33.3MiB live, 59.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
cost-diff	0	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64)))))
cost-diff	3	(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64)))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff	15	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff	4	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- ( v v) 1) #s(literal -1 binary64)))
cost-diff	0	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	542
0	95	515
1	161	515
2	351	515
3	1265	515
4	3847	487
5	7202	487
0	8161	469

Stop Event

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

Calls

Call 1

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

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

localize749.0ms (6.5%)

Memory

6.4MiB live, 524.7MiB allocated; 66ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.029628759768442016	(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))
accuracy	1.0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	59.75525473396754	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64))))
accuracy	0.359375	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
accuracy	0.41305391278471093	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))
accuracy	59.14065776485625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
accuracy	59.170555401788604	(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
accuracy	0.2232556990980073	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	59.75525473396754	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy	0.2232556990980073	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	59.75525473396754	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 v v)
accuracy	0.0078125	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- ( v v) 1) #s(literal -1 binary64)))
accuracy	0.38312555404466475	(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))))
accuracy	0.4920578427346456	#s(approx (- (* v v) 1) #s(literal -1 binary64))

Samples

440.0ms	120×	3	valid
100.0ms	69×	2	valid
72.0ms	66×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 450 to 57 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

adjust: 153.0ms (31.7% of total)

ival-sub: 87.0ms (18% of total)

ival-acos: 61.0ms (12.7% of total)

ival-div: 39.0ms (8.1% of total)

ival-mult: 34.0ms (7.1% of total)

ival-add: 29.0ms (6% of total)

ival-pow: 23.0ms (4.8% of total)

ival-asin: 21.0ms (4.4% of total)

ival-pow2: 20.0ms (4.1% of total)

ival-cbrt: 8.0ms (1.7% of total)

ival-sqrt: 4.0ms (0.8% of total)

ival-pi: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series12.0ms (0.1%)

Memory

43.0MiB live, 42.9MiB allocated; 0ms collecting garbage

Counts

27 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

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

3.0ms

-inf

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

simplify203.0ms (1.8%)

Memory

-19.1MiB live, 172.8MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	524
1	350	517
2	978	513
3	3687	503
0	8166	465

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

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

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

rewrite187.0ms (1.6%)

Memory

16.3MiB live, 206.7MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	381
0	95	335
1	404	294
2	2783	293
0	8564	278

Stop Event

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

Counts

27 → 741

Calls

Call 1

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

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

eval107.0ms (0.9%)

Memory: -15.8MiB live, 215.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 32 482 to 2 754 computations (91.5% saved)

prune27.0ms (0.2%)

Memory

20.9MiB live, 75.2MiB allocated; 5ms collecting garbage

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	725	6	731
Fresh	0	5	5
Picked	2	3	5
Done	2	6	8
Total	729	20	749

Accuracy

99.4%

Counts

749 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64)))) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 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)))))))
	1.6%	(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
✓	96.0%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	96.4%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(approx (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (acos.f64 (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	95.5%	(-.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	95.9%	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.1%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.7%	(-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 9/4 binary64)))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	97.9%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.5%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	96.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))))
	96.1%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64))))))
	96.0%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 #s(approx (/ (/ (+ ( (* 5 v) v) -1) (+ 1 v)) (- v 1)) (fma.f64 (*.f64 #s(literal -4 binary64) v) v #s(literal 1 binary64)))))
	97.5%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	99.4%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	99.1%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	98.6%	(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))))
✓	99.4%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 452 to 547 computations (62.3% saved)

regimes26.0ms (0.2%)

Memory

-0.7MiB live, 45.6MiB allocated; 2ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	v
6.0ms	(*.f64 v v)
5.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
5.0ms	(/.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
99.4%	1	`(*.f64 v v)`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.4%	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))))`
99.4%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes27.0ms (0.2%)

Memory

-31.4MiB live, 15.1MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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:

21.0ms	(*.f64 v v)
2.0ms	v
2.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.4%	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))))`
99.4%	1	`(*.f64 v v)`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.4%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(*.f64 v v)`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.1%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
99.1%	1	`v`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify82.0ms (0.7%)

Memory

-25.9MiB live, 67.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	103
1	74	103
2	177	103
3	701	103
4	2468	103
5	5717	103
6	7961	103

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations531.0ms (4.6%)

Memory

-3.4MiB live, 468.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	284
1	158	281
2	451	277
3	1629	273
4	6754	271
0	8112	256
0	39	145
1	106	142
2	324	138
3	1271	138
4	5712	136
0	8293	130
0	9	47
0	15	47
1	67	47
2	500	47
3	6524	47
0	8132	41

Stop Event

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

Compiler

Compiled 103 to 43 computations (58.3% saved)

preprocess34.0ms (0.3%)

Memory: 39.2MiB live, 84.9MiB allocated; 4ms collecting garbage
Remove: (abs v)
Compiler: Compiled 262 to 124 computations (52.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze566.0ms (4.9%)

sample5.7s (48.9%)

explain284.0ms (2.5%)

preprocess160.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify104.0ms (0.9%)

localize133.0ms (1.1%)

series7.0ms (0.1%)

simplify121.0ms (1%)

rewrite182.0ms (1.6%)

eval88.0ms (0.8%)

prune17.0ms (0.1%)

simplify81.0ms (0.7%)

localize363.0ms (3.1%)

series5.0ms (0%)

simplify120.0ms (1%)

rewrite191.0ms (1.7%)

eval181.0ms (1.6%)

prune17.0ms (0.1%)

simplify118.0ms (1%)

localize393.0ms (3.4%)

series2.0ms (0%)

simplify106.0ms (0.9%)

rewrite266.0ms (2.3%)

eval240.0ms (2.1%)

prune38.0ms (0.3%)

simplify127.0ms (1.1%)

localize749.0ms (6.5%)

series12.0ms (0.1%)

simplify203.0ms (1.8%)

rewrite187.0ms (1.6%)

eval107.0ms (0.9%)

prune27.0ms (0.2%)

regimes26.0ms (0.2%)

regimes27.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify82.0ms (0.7%)

derivations531.0ms (4.6%)

preprocess34.0ms (0.3%)

end0.0ms (0%)

Profiling