Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze465.0ms (3.8%)

Memory

-3.7MiB live, 705.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.2s (33.8%)

Memory

47.2MiB live, 4 203.8MiB allocated

Samples

1.4s	3 795×	3	valid
844.0ms	2 115×	2	valid
760.0ms	8 376×	0	invalid
336.0ms	2 030×	1	valid
22.0ms	316×	0	valid

Precisions

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

ival-sub: 572.0ms (22.9% of total)

ival-acos: 551.0ms (22.1% of total)

adjust: 530.0ms (21.2% of total)

ival-mult: 471.0ms (18.9% of total)

ival-div: 336.0ms (13.5% of total)

exact: 15.0ms (0.6% of total)

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

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain282.0ms (2.3%)

Memory

12.5MiB live, 325.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
14	239	(-5.9103258944763795e-202)	-	`(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	2	(-1.3895800239779984e-162)	-	`(.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	253	0

Confusion

	Predicted +	Predicted -
+	15	0
-	238	3

Precision

0.05928853754940711

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	238	0	3

Precision?

0.05928853754940711

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

128.0ms	214×	3	valid
34.0ms	142×	2	valid
20.0ms	128×	1	valid
2.0ms	28×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

adjust: 62.0ms (40.5% of total)

ival-acos: 42.0ms (27.4% of total)

ival-sub: 21.0ms (13.7% of total)

ival-div: 15.0ms (9.8% of total)

ival-mult: 12.0ms (7.8% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess216.0ms (1.7%)

Memory

-5.3MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(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)

simplify159.0ms (1.3%)

Memory

0.4MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
cost-diff	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	35	50
2	80	50
3	206	50
4	578	50
5	1250	50
6	2549	50
7	4009	50
8	5829	50
9	7509	50
0	8054	44

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1%)

Memory

22.4MiB live, 140.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 v v)
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.13966752930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6969230620512045	(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

64.0ms	107×	3	valid
29.0ms	64×	1	valid
15.0ms	71×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-sub: 36.0ms (38.2% of total)

ival-acos: 33.0ms (35% of total)

adjust: 10.0ms (10.6% of total)

ival-div: 9.0ms (9.5% of total)

ival-mult: 6.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-22.6MiB live, 14.7MiB allocated

Counts

6 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	0	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	-inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

Time

Variable

Point

Expression

6.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify146.0ms (1.2%)

Memory

-5.3MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite209.0ms (1.7%)

Memory

33.1MiB live, 186.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 607

Calls

Call 1

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

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

eval246.0ms (2%)

Memory: -27.2MiB live, 257.1MiB allocated
Compiler: Compiled 16 601 to 2 203 computations (86.7% saved)

prune55.0ms (0.4%)

Memory

33.7MiB live, 71.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	619	12	631
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	620	12	632

Accuracy

98.9%

Counts

632 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	98.9%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.2%	(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v)))
▶	98.3%	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
▶	98.9%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 v (+.f64 v #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) v #s(literal -1 binary64)))))
▶	97.0%	(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))))
	98.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶	0.0%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Compiler

Compiled 520 to 320 computations (38.5% saved)

simplify198.0ms (1.6%)

Memory

-10.2MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	275
0	62	254
1	106	236
2	225	236
3	572	236
4	1364	236
5	2368	236
6	5372	236
7	7004	236
8	7641	236
0	8043	236

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

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

localize374.0ms (3%)

Memory

-21.3MiB live, 456.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))
accuracy	0.029628759768442016	(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
accuracy	0.6969230620512045	(acos.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
accuracy	0.006191259768442017	(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.03125	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.7602510837775148	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
accuracy	0.13966752930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6969230620512045	(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	1.1593828570324944	#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy	0.6969230620512045	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy	53.173927646693315	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy	0.01171875	(fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.13966752930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6969230620512045	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))

Samples

202.0ms	107×	3	valid
89.0ms	71×	2	valid
33.0ms	64×	1	valid
7.0ms	14×	0	valid

Compiler

Compiled 283 to 34 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-div: 79.0ms (32.4% of total)

ival-acos: 38.0ms (15.6% of total)

adjust: 37.0ms (15.2% of total)

ival-mult: 27.0ms (11.1% of total)

ival-add: 23.0ms (9.4% of total)

ival-asin: 20.0ms (8.2% of total)

ival-sub: 19.0ms (7.8% of total)

ival-pi: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

20 → 46

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify152.0ms (1.2%)

Memory

6.9MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	461
1	361	454
2	1029	414
3	3477	404
4	7823	404
0	8451	361

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

rewrite268.0ms (2.2%)

Memory

-25.8MiB live, 274.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	223
0	62	200
1	273	182
2	2182	182
0	8412	182

Stop Event

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

Counts

20 → 1 295

Calls

Call 1

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

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

eval277.0ms (2.2%)

Memory: 9.2MiB live, 270.0MiB allocated
Compiler: Compiled 32 626 to 4 111 computations (87.4% saved)

prune80.0ms (0.6%)

Memory

-10.0MiB live, 75.6MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 073	11	1 084
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1 080	16	1 096

Accuracy

98.9%

Counts

1 096 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))
	97.4%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.0%	(fma.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))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.6%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	3.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.0%	(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))))
▶	98.9%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.9%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 (-.f64 v #s(literal 1 binary64)) v (-.f64 v #s(literal 1 binary64)))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 v (+.f64 #s(literal 1 binary64) v) (neg.f64 (+.f64 #s(literal 1 binary64) v)))))
▶	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 v (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 v #s(literal 1 binary64)) v)))))
	98.0%	(acos.f64 (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
▶	98.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) 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 631 to 426 computations (32.5% saved)

simplify187.0ms (1.5%)

Memory

32.7MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	340
0	82	307
1	145	301
2	260	301
3	575	301
4	1307	300
5	3449	300
6	5387	300
7	6952	300
8	7909	300
0	8194	300

Stop Event

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

Calls

Call 1

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

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

localize540.0ms (4.4%)

Memory

-12.1MiB live, 429.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7602510837775148	(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))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	1.1593828570324944	#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy	0.01953125	(*.f64 (-.f64 v #s(literal 1 binary64)) v)
accuracy	0.03515625	(-.f64 v (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 v #s(literal 1 binary64)) v)))
accuracy	0.13966752930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6969230620512045	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 v (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 v #s(literal 1 binary64)) v)))))
accuracy	0.0	(*.f64 v v)
accuracy	0.006191259768442017	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.6969230620512045	(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	0.0	(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) v)
accuracy	0.5180156095432488	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.6969230620512045	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	0.03125	(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.7602510837775148	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))

Samples

231.0ms	107×	3	valid
117.0ms	64×	1	valid
110.0ms	71×	2	valid
5.0ms	14×	0	valid

Compiler

Compiled 340 to 48 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-div: 71.0ms (19.7% of total)

adjust: 55.0ms (15.2% of total)

ival-asin: 51.0ms (14.1% of total)

ival-sub: 45.0ms (12.5% of total)

ival-add: 43.0ms (11.9% of total)

ival-acos: 32.0ms (8.9% of total)

ival-mult: 24.0ms (6.7% of total)

ival-pow: 20.0ms (5.5% of total)

ival-cbrt: 7.0ms (1.9% of total)

ival-pow2: 5.0ms (1.4% of total)

ival-pi: 3.0ms (0.8% of total)

ival-neg: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

24 → 36

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify146.0ms (1.2%)

Memory

3.7MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	318
1	180	313
2	421	309
3	1147	305
4	3361	303
5	6622	303
0	8170	271

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite334.0ms (2.7%)

Memory

-11.8MiB live, 302.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	224
0	82	204
1	336	195
2	2442	186
0	9380	185

Stop Event

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

Counts

24 → 1 124

Calls

Call 1

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

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

eval274.0ms (2.2%)

Memory: -2.8MiB live, 355.7MiB allocated
Compiler: Compiled 36 975 to 4 023 computations (89.1% saved)

prune73.0ms (0.6%)

Memory

16.1MiB live, 93.7MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 038	8	1 046
Fresh	2	7	9
Picked	3	2	5
Done	1	1	2
Total	1 044	18	1 062

Accuracy

98.9%

Counts

1 062 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	96.0%	(fma.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))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.6%	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.4%	(fma.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	3.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.8%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	97.0%	(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))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 v (+.f64 #s(literal 1 binary64) v) (neg.f64 (+.f64 #s(literal 1 binary64) v)))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 v #s(approx (- 1 (* (- v 1) v)) (fma.f64 (-.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64))))))
▶	98.0%	(acos.f64 (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
✓	98.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
▶	96.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 822 to 522 computations (36.5% saved)

simplify169.0ms (1.4%)

Memory

5.0MiB live, 168.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	524
0	88	506
1	147	496
2	265	493
3	564	493
4	1340	493
5	2911	490
6	5007	490
7	7671	490
0	8326	477

Stop Event

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

Calls

Call 1

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

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

localize550.0ms (4.5%)

Memory

-31.5MiB live, 686.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5180156095432488	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.7602510837775148	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	0.5180156095432488	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.7602510837775148	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	57.60576519406023	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
accuracy	57.62857638543425	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64))
accuracy	0.029628759768442016	(/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
accuracy	0.49926680733231643	#s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64)))
accuracy	0.6969230620512045	(acos.f64 (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
accuracy	0.6969230620512045	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	1.2520299436414026	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.03125	(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.7602510837775148	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	1.0	(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))

Samples

273.0ms	107×	3	valid
136.0ms	71×	2	valid
59.0ms	68×	1	valid
4.0ms	10×	0	valid

Compiler

Compiled 432 to 56 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

adjust: 124.0ms (31.3% of total)

ival-add: 76.0ms (19.2% of total)

ival-div: 41.0ms (10.4% of total)

ival-mult: 40.0ms (10.1% of total)

ival-asin: 34.0ms (8.6% of total)

ival-acos: 24.0ms (6.1% of total)

ival-pow2: 23.0ms (5.8% of total)

ival-sub: 12.0ms (3% of total)

ival-pi: 9.0ms (2.3% of total)

ival-cbrt: 8.0ms (2% of total)

ival-neg: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series8.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

22 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify139.0ms (1.1%)

Memory

4.5MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	511
1	396	498
2	1207	480
3	4382	466
0	8167	412

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite424.0ms (3.4%)

Memory

-143.0MiB live, 411.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	360
0	88	361
1	395	297
2	2959	297
0	8525	285

Stop Event

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

Counts

22 → 928

Calls

Call 1

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

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

eval313.0ms (2.5%)

Memory: 18.0MiB live, 211.0MiB allocated
Compiler: Compiled 80 823 to 3 436 computations (95.7% saved)

prune131.0ms (1.1%)

Memory

-21.6MiB live, 93.0MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 040	8	1 048
Fresh	3	7	10
Picked	0	5	5
Done	0	3	3
Total	1 043	23	1 066

Accuracy

99.0%

Counts

1 066 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	96.6%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	95.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))))
	96.0%	(fma.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))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.1%	(fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
✓	98.9%	(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	3.8%	(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	6.2%	(/.f64 (fma.f64 (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	3.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.8%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))))
	3.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 0 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
	98.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal -1 binary64)))
	97.0%	(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))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (fma.f64 v (+.f64 #s(literal 1 binary64) v) (neg.f64 (+.f64 #s(literal 1 binary64) v)))))
	98.3%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 v #s(approx (- 1 (* (- v 1) v)) (fma.f64 (-.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64))))))
✓	98.0%	(acos.f64 (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (- v 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal 4 binary64)) v #s(literal -1 binary64)) v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
✓	98.1%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	96.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 2 245 to 642 computations (71.4% saved)

regimes42.0ms (0.3%)

Memory

10.5MiB live, 56.3MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

(fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

Calls

4 calls:

14.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
10.0ms	v
8.0ms	(*.f64 v v)
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes24.0ms (0.2%)

Memory

-7.0MiB live, 30.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	v
4.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes13.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes23.0ms (0.2%)

Memory

-21.8MiB live, 16.2MiB allocated

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

Calls

4 calls:

16.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.1%	1	`v`
98.1%	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))))`
98.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.1%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`v`
96.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
96.7%	1	`(*.f64 v v)`
96.7%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify89.0ms (0.7%)

Memory

-11.4MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	102
1	63	102
2	125	102
3	279	102
4	690	102
5	1726	102
6	3387	102
7	5502	102
8	7357	102

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.3s (10.8%)

Memory

23.2MiB live, 613.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	461
1	361	454
2	1029	414
3	3477	404
4	7823	404
0	8451	361
0	39	135
1	100	132
2	268	128
3	658	128
4	2013	126
5	5185	126
0	8109	115
0	46	224
0	82	204
1	336	195
2	2442	186
0	9380	185
0	35	223
0	62	200
1	273	182
2	2182	182
0	8412	182
0	9	47
0	15	47
1	70	47
2	530	47
3	6849	47
0	8017	41
0	75	318
1	180	313
2	421	309
3	1147	305
4	3361	303
5	6622	303
0	8170	271

Stop Event

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

Compiler

Compiled 315 to 148 computations (53% saved)

preprocess84.0ms (0.7%)

Memory: -10.0MiB live, 109.5MiB allocated
Remove: (abs v)
Compiler: Compiled 272 to 126 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze465.0ms (3.8%)

sample4.2s (33.8%)

explain282.0ms (2.3%)

preprocess216.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify159.0ms (1.3%)

localize120.0ms (1%)

series8.0ms (0.1%)

simplify146.0ms (1.2%)

rewrite209.0ms (1.7%)

eval246.0ms (2%)

prune55.0ms (0.4%)

simplify198.0ms (1.6%)

localize374.0ms (3%)

series7.0ms (0.1%)

simplify152.0ms (1.2%)

rewrite268.0ms (2.2%)

eval277.0ms (2.2%)

prune80.0ms (0.6%)

simplify187.0ms (1.5%)

localize540.0ms (4.4%)

series7.0ms (0.1%)

simplify146.0ms (1.2%)

rewrite334.0ms (2.7%)

eval274.0ms (2.2%)

prune73.0ms (0.6%)

simplify169.0ms (1.4%)

localize550.0ms (4.5%)

series8.0ms (0.1%)

simplify139.0ms (1.1%)

rewrite424.0ms (3.4%)

eval313.0ms (2.5%)

prune131.0ms (1.1%)

regimes42.0ms (0.3%)

regimes24.0ms (0.2%)

regimes13.0ms (0.1%)

regimes23.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify89.0ms (0.7%)

soundness1.3s (10.8%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling