Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated

analyze620.0ms (5.6%)

Memory

-15.2MiB live, 947.6MiB 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)

sample5.4s (48.5%)

Memory

18.9MiB live, 5 961.5MiB allocated

Samples

2.3s	3 783×	3	valid
721.0ms	8 247×	0	invalid
701.0ms	2 100×	2	valid
589.0ms	2 058×	1	valid
26.0ms	315×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-acos: 670.0ms (23.7% of total)

ival-mult: 650.0ms (23% of total)

adjust: 566.0ms (20% of total)

ival-sub: 515.0ms (18.2% of total)

ival-div: 390.0ms (13.8% of total)

exact: 17.0ms (0.6% of total)

ival-true: 14.0ms (0.5% of total)

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

Bogosity

explain275.0ms (2.5%)

Memory

1.3MiB live, 420.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
13	242	(1.6241578450646702e-56)	-	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0	0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 v v)`
0	0	-	-	`#s(literal 5 binary64)`
0	0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0	0	-	-	`v`
0	0	-	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	13	0
-	242	1

Precision

0.050980392156862744

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	242	0	1

Precision?

0.050980392156862744

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	212×	3	valid
33.0ms	140×	2	valid
25.0ms	140×	1	valid
2.0ms	20×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-acos: 27.0ms (26.5% of total)

adjust: 22.0ms (21.6% of total)

ival-sub: 22.0ms (21.6% of total)

ival-div: 15.0ms (14.7% of total)

ival-mult: 14.0ms (13.7% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess129.0ms (1.2%)

Memory

-16.8MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	35	29
2	132	29
3	506	29
4	2075	29
5	4902	29
6	6528	29
7	7637	29
0	9	14
0	15	14
1	34	14
2	107	14
3	532	14
4	2059	14
5	4993	14
6	6844	14
0	8005	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify79.0ms (0.7%)

Memory

43.4MiB live, 87.9MiB 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	34	50
2	107	50
3	532	50
4	2059	50
5	4993	50
6	6844	50
0	8005	44

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.7%)

Memory

-7.8MiB live, 133.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 v v)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.18330004884221007	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.7033765761699221	(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

39.0ms	70×	2	valid
38.0ms	106×	3	valid
11.0ms	70×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 24.0ms (33.1% of total)

ival-acos: 24.0ms (33.1% of total)

adjust: 11.0ms (15.2% of total)

ival-sub: 8.0ms (11% of total)

ival-mult: 6.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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
1.0ms	v	@	inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	0	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	-inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify124.0ms (1.1%)

Memory

4.7MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite207.0ms (1.9%)

Memory

4.0MiB live, 237.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 530

Calls

Call 1

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

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

eval114.0ms (1%)

Memory: -36.0MiB live, 159.4MiB allocated
Compiler: Compiled 14 273 to 1 943 computations (86.4% saved)

prune13.0ms (0.1%)

Memory

-6.0MiB live, 39.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

98.9%

Counts

568 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
▶	98.9%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	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))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
▶	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
▶	0.0%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

Compiler

Compiled 340 to 158 computations (53.5% saved)

simplify83.0ms (0.7%)

Memory

7.3MiB live, 117.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	55	230
1	101	230
2	232	230
3	904	230
4	2961	230
5	6015	230
0	8254	230

Stop Event

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

Calls

Call 1

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

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

localize350.0ms (3.1%)

Memory

15.9MiB live, 352.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.015625	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
accuracy	0.18330004884221007	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.40271033052391186	#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy	0.7033765761699221	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
accuracy	0.00390625	(-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))
accuracy	0.030292529305326048	(.f64 #s(literal 4 binary64) (.f64 v v))
accuracy	0.23919857842760162	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64)))
accuracy	0.7033765761699221	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
accuracy	0.7033765761699221	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy	53.17305221650935	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy	0.0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.0	(*.f64 v v)
accuracy	0.00390625	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.7033765761699221	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

124.0ms	70×	2	valid
117.0ms	106×	3	valid
35.0ms	77×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 234 to 28 computations (88% saved)

Precisions

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

ival-acos: 47.0ms (30.6% of total)

adjust: 44.0ms (28.7% of total)

ival-div: 19.0ms (12.4% of total)

ival-mult: 17.0ms (11.1% of total)

ival-sub: 13.0ms (8.5% of total)

ival-add: 10.0ms (6.5% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series10.0ms (0.1%)

Memory

-25.8MiB live, 15.6MiB allocated

Counts

20 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (* v v) 1) (+ (* (* v 5) v) -1))
2.0ms	v	@	-inf	((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (* v v) 1) (+ (* (* v 5) v) -1))
1.0ms	v	@	0	((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (* v v) 1) (+ (* (* v 5) v) -1))

Time

Variable

Point

Expression

6.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify108.0ms (1%)

Memory

15.6MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	302
1	161	299
2	458	295
3	1644	291
4	6711	289
0	8064	274

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite285.0ms (2.6%)

Memory

6.0MiB live, 240.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	212
0	55	197
1	219	197
2	1451	197
0	8310	197

Stop Event

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

Counts

20 → 762

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 v v))))
(/.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 v #s(literal -5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) v))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 5 binary64) (.f64 v v)))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (-.f64 v #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 v v) #s(literal -5 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 #s(literal 5 binary64) (.f64 v v))))) (neg.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) (fma.f64 v v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #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 6 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 v v))))))
(/.f64 (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 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 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 #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))) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 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 12 binary64)) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 v #s(literal 8 binary64)) (-.f64 (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 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 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 v v))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #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 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 v v))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 v #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 v v))) #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 v v))))))))
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#s(approx (- (* v v) 1) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (*.f64 #s(literal 5 binary64) v)) v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 v) (.f64 #s(literal 5 binary64) v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 v) (.f64 #s(literal 5 binary64) v)) (.f64 (neg.f64 v) (.f64 #s(literal 5 binary64) v)) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 v) (*.f64 #s(literal 5 binary64) v))))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) (.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v))))
(/.f64 (-.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.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)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) v))) v #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) (neg.f64 v))) v #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v))) v #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 5 binary64) v)) (fabs.f64 (.f64 v #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) v)) v #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 v #s(literal -5 binary64))) v #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) v)) v #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) (neg.f64 v)) (neg.f64 v) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 5 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 v v))) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 v (fabs.f64 (*.f64 (neg.f64 v) #s(literal 5 binary64))) #s(literal -1 binary64))
(fma.f64 v (fabs.f64 (*.f64 (neg.f64 v) #s(literal -5 binary64))) #s(literal -1 binary64))
(fma.f64 v (fabs.f64 (*.f64 #s(literal 5 binary64) v)) #s(literal -1 binary64))
(fma.f64 v (fabs.f64 (.f64 (.f64 #s(literal 5 binary64) v) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 v (fabs.f64 (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))
(fma.f64 v (*.f64 #s(literal 5 binary64) v) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))) (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 5 binary64) v)) v))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 v v)) #s(literal 5 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 v) (.f64 #s(literal 5 binary64) v)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

eval142.0ms (1.3%)

Memory: -12.6MiB live, 215.1MiB allocated
Compiler: Compiled 22 353 to 3 048 computations (86.4% saved)

prune33.0ms (0.3%)

Memory

3.3MiB live, 48.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	746	7	753
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	749	10	759

Accuracy

98.9%

Counts

759 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.6%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.4%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.4%	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.5%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	98.9%	(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))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
▶	98.2%	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))

Compiler

Compiled 330 to 231 computations (30% saved)

simplify78.0ms (0.7%)

Memory

35.1MiB live, 93.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	305
0	64	279
1	106	279
2	267	279
3	998	279
4	3662	279
5	7528	279
0	8700	277

Stop Event

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

Calls

Call 1

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

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

localize517.0ms (4.7%)

Memory

-67.8MiB live, 346.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.015625	(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.015625	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.4360820602046134	#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))
accuracy	0.7033765761699221	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0.015625	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
accuracy	0.23919857842760162	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	60.033399613222976	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))

Samples

156.0ms	106×	3	valid
120.0ms	70×	2	valid
40.0ms	77×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 315 to 35 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-sub: 71.0ms (27.7% of total)

ival-acos: 64.0ms (25% of total)

adjust: 35.0ms (13.7% of total)

ival-pow: 23.0ms (9% of total)

ival-mult: 18.0ms (7% of total)

ival-div: 14.0ms (5.5% of total)

ival-add: 11.0ms (4.3% of total)

ival-cbrt: 6.0ms (2.3% of total)

ival-pow2: 5.0ms (2% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-pi: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series3.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

18 → 22

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify104.0ms (0.9%)

Memory

13.7MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	237
1	152	234
2	437	230
3	1598	226
4	6613	224
0	8157	211

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite187.0ms (1.7%)

Memory

1.2MiB live, 146.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	188
0	64	161
1	210	158
2	1423	158
0	8501	155

Stop Event

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

Counts

18 → 562

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))) (-.f64 (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64))) (.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) (PI.f64))) (/.f64 (.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64))))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64))))) (+.f64 (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 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 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 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 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 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 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/2 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (exp.f64 (cbrt.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)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64)))
(*.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 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

eval166.0ms (1.5%)

Memory: 8.7MiB live, 142.3MiB allocated
Compiler: Compiled 23 070 to 2 522 computations (89.1% saved)

prune40.0ms (0.4%)

Memory

-17.0MiB live, 38.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	788	4	792
Fresh	0	2	2
Picked	3	2	5
Done	0	3	3
Total	791	11	802

Accuracy

98.9%

Counts

802 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	94.8%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.1%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	95.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.4%	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.6%	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.5%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	98.9%	(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))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))

Compiler

Compiled 367 to 262 computations (28.6% saved)

simplify191.0ms (1.7%)

Memory

27.4MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (PI.f64) #s(literal 3/2 binary64))
cost-diff	0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
cost-diff	0	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
cost-diff	0	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
cost-diff	3	(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
cost-diff	0	(cbrt.f64 (PI.f64))
cost-diff	0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff	4	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
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: 1 (0.0ms)

Iter	Nodes	Cost
0	44	401
0	75	383
1	122	369
2	296	369
3	879	369
4	2617	369
0	8302	369

Stop Event

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

Calls

Call 1

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

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

localize347.0ms (3.1%)

Memory

-0.2MiB live, 250.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
accuracy	1.0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.015625	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
accuracy	1.58496250072115	(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.23919857842760162	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	60.033399613222976	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy	0.23919857842760162	#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	60.033399613222976	(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy	0.015625	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	1.0	(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
accuracy	60.033399613222976	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

163.0ms	146×	1	valid
143.0ms	107×	2	valid
1.0ms	3×	0	valid

Compiler

Compiled 399 to 40 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 56.0ms (21.6% of total)

ival-add: 54.0ms (20.9% of total)

ival-acos: 45.0ms (17.4% of total)

adjust: 26.0ms (10% of total)

ival-pow: 19.0ms (7.3% of total)

ival-sub: 17.0ms (6.6% of total)

ival-cbrt: 12.0ms (4.6% of total)

ival-exp: 6.0ms (2.3% of total)

ival-log: 6.0ms (2.3% of total)

ival-div: 5.0ms (1.9% of total)

ival-pow2: 5.0ms (1.9% of total)

ival-sqrt: 4.0ms (1.5% of total)

ival-pi: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

23 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify120.0ms (1.1%)

Memory

-23.1MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	110
1	76	110
2	176	110
3	520	110
4	1328	110
5	2550	110
6	4904	110
7	6327	110
8	7069	110
0	8164	105

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite173.0ms (1.6%)

Memory

0.7MiB live, 183.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	225
0	75	165
1	259	160
2	1647	160
0	8359	159

Stop Event

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

Counts

23 → 960

Calls

Call 1

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

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

eval137.0ms (1.2%)

Memory: 29.2MiB live, 175.0MiB allocated
Compiler: Compiled 19 897 to 2 213 computations (88.9% saved)

prune19.0ms (0.2%)

Memory

11.0MiB live, 54.5MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	621	3	624
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	621	14	635

Accuracy

98.9%

Counts

635 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.6%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	95.2%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
	94.8%	(-.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.1%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	96.7%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( (* v 5) v) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
✓	95.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	91.1%	(-.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	97.4%	(-.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	96.6%	(-.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.5%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓	98.9%	(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))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓	98.5%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) #s(literal 1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)))

Compiler

Compiled 817 to 337 computations (58.8% saved)

regimes22.0ms (0.2%)

Memory

1.2MiB live, 46.3MiB allocated

Counts

21 → 1

Calls

Call 1

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

7.0ms	(*.f64 v v)
5.0ms	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)

regimes12.0ms (0.1%)

Memory

-40.8MiB live, 17.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.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	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total -62.8b remaining (-5369.3%)

Threshold costs -62.8b (-5369.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`v`
98.2%	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))))`
98.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.2%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify54.0ms (0.5%)

Memory

-6.5MiB live, 85.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	73
1	75	73
2	209	73
3	945	73
4	3738	73
5	6831	73

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness742.0ms (6.7%)

Memory

-22.9MiB live, 461.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	302
1	161	299
2	458	295
3	1644	291
4	6711	289
0	8064	274
0	9	47
0	15	47
1	67	47
2	500	47
3	6524	47
0	8132	41
0	39	145
1	106	142
2	324	138
3	1271	138
4	5712	136
0	8293	130

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

Compiler

Compiled 170 to 91 computations (46.5% saved)

preprocess28.0ms (0.3%)

Memory: 1.7MiB live, 47.7MiB allocated
Remove: (abs v)
Compiler: Compiled 198 to 114 computations (42.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze620.0ms (5.6%)

sample5.4s (48.5%)

explain275.0ms (2.5%)

preprocess129.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify79.0ms (0.7%)

localize192.0ms (1.7%)

series3.0ms (0%)

simplify124.0ms (1.1%)

rewrite207.0ms (1.9%)

eval114.0ms (1%)

prune13.0ms (0.1%)

simplify83.0ms (0.7%)

localize350.0ms (3.1%)

series10.0ms (0.1%)

simplify108.0ms (1%)

rewrite285.0ms (2.6%)

eval142.0ms (1.3%)

prune33.0ms (0.3%)

simplify78.0ms (0.7%)

localize517.0ms (4.7%)

series3.0ms (0%)

simplify104.0ms (0.9%)

rewrite187.0ms (1.7%)

eval166.0ms (1.5%)

prune40.0ms (0.4%)

simplify191.0ms (1.7%)

localize347.0ms (3.1%)

series4.0ms (0%)

simplify120.0ms (1.1%)

rewrite173.0ms (1.6%)

eval137.0ms (1.2%)

prune19.0ms (0.2%)

regimes22.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

simplify54.0ms (0.5%)

soundness742.0ms (6.7%)

preprocess28.0ms (0.3%)

end0.0ms (0%)

Profiling