Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

5.3MiB live, 5.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.3s (17.9%)

Memory

54.3MiB live, 1 269.9MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 627.0ms

ival-mult: 359.0ms (57.3% of total)

ival-div: 155.0ms (24.7% of total)

ival-sub: 59.0ms (9.4% of total)

ival->: 35.0ms (5.6% of total)

exact: 15.0ms (2.4% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain254.0ms (3.5%)

Memory

-7.9MiB live, 307.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
180	-	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
65	-	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(*.f64 i i)`
0	-	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	-	`i`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	130
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	130
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	53	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	85
↳	`(*.f64 i i)`	underflow	106
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	53
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	85
↳	`(*.f64 i i)`	underflow	106
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	30	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	130

Confusion

	Predicted +	Predicted -
+	180	0
-	0	76

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	180	0	0
-	0	0	76

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	76
1	115
2	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 317 to 83 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.9% of total)

ival-div: 7.0ms (30.8% of total)

ival-sub: 2.0ms (8.8% of total)

ival-true: 1.0ms (4.4% of total)

exact: 1.0ms (4.4% of total)

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

preprocess232.0ms (3.2%)

Memory

-1.1MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	55	43
2	350	26
3	2861	26
4	7636	26
0	10	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5292	11
6	7322	11
0	8036	10

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.6%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

31.6%

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Compiler

Compiled 25 to 10 computations (60% saved)

simplify180.0ms (2.5%)

Memory

-5.0MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	320	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff	7168	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
0	17	62
1	45	56
2	187	42
3	1060	42
4	3649	40
5	5292	40
6	7322	40
0	8036	38

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 (.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 #s(literal 4 binary64) (.f64 i i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize27.0ms (0.4%)

Memory

2.3MiB live, 39.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.12890625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	15.74769998087549	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy	40.0617871334104	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.2% of total)

ival-div: 3.0ms (28.6% of total)

ival-sub: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 14

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 i i) (*.f64 i i))

Outputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))
1.0ms	i	@	0	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))
1.0ms	i	@	-inf	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))

Time

Variable

Point

Expression

2.0ms

inf

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))

1.0ms

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))

1.0ms

-inf

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)))

simplify208.0ms (2.9%)

Memory

18.9MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	94	123
2	218	122
3	505	118
4	1055	118
5	2101	118
6	3996	118
7	6196	118
0	8150	113

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Outputs
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))

rewrite144.0ms (2%)

Memory

1.7MiB live, 160.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	27

Stop Event

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

Counts

5 → 653

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 i i) (*.f64 i i))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
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(fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) i #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -2 binary64) i)) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) i))) (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 i i) #s(literal 8 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 i #s(literal -4 binary64)) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 64 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) i) (/.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) i) (/.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i)
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) (*.f64 i i))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(.f64 (.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval126.0ms (1.7%)

Memory: -32.2MiB live, 186.6MiB allocated
Compiler: Compiled 16 920 to 1 794 computations (89.4% saved)

prune14.0ms (0.2%)

Memory

15.4MiB live, 53.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	696	6	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	697	6	703

Accuracy

100.0%

Counts

703 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
	74.6%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	45.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 310 to 154 computations (50.3% saved)

simplify148.0ms (2.1%)

Memory

6.5MiB live, 235.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	(fma.f64 i i #s(literal 1/4 binary64))
cost-diff	0	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff	320	(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
cost-diff	320	(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
cost-diff	1152	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	236
0	50	220
1	106	212
2	322	183
3	1464	182
4	4333	172
5	7287	172
0	8396	165

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)

Outputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 i (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal -2 binary64)) i)
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)

localize368.0ms (5.1%)

Memory

-32.1MiB live, 94.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.253945111932343	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	28.996553153881443	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0	(neg.f64 i)
accuracy	0.046875	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	0.05078125	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	34.49043830853276	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	34.590005314835146	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	28.99709451023317	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
accuracy	0.0078125	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy	0.0625	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
accuracy	0.07421875	(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))

Samples

98.0ms

256×

valid

Compiler

Compiled 459 to 69 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 42.0ms (71.2% of total)

ival-div: 9.0ms (15.3% of total)

ival-add: 5.0ms (8.5% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series10.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

17 → 49

Calls

Call 1

Inputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(neg.f64 i)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ -1 i)
(/ (- (* 2 i) 1) i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
4
(- 4 (* 2 (/ 1 i)))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
2
(- 2 (/ 1 i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	i	@	-inf	((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))
3.0ms	i	@	0	((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))
3.0ms	i	@	inf	((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))

Time

Variable

Point

Expression

3.0ms

-inf

((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))

3.0ms

((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))

3.0ms

inf

((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))

simplify196.0ms (2.7%)

Memory

21.1MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	401
1	374	383
2	864	365
3	2209	361
4	6460	361
0	8099	343

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ -1 i)
(/ (- (* 2 i) 1) i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
4
(- 4 (* 2 (/ 1 i)))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
2
(- 2 (/ 1 i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (+ 1/2 (* -1 i)))
(*.f64 (-.f64 #s(literal 1/2 binary64) i) i)
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 4 i) 2) i)
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 i))
(-.f64 #s(literal 1/2 binary64) i)
(+ 1/2 (* i (- (* 2 i) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(pow i 2)
(*.f64 i i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ -1 i)
(/.f64 #s(literal -1 binary64) i)
(/ (- (* 2 i) 1) i)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) i))
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(- 1/4 (* 1/8 (/ 1 i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
(- 2 (/ 1 i))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)

rewrite210.0ms (2.9%)

Memory

-4.8MiB live, 171.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	212
0	50	188
1	206	180
2	1609	160
0	8530	153

Stop Event

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

Counts

17 → 531

Calls

Call 1

Inputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(neg.f64 i)

Outputs
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 (.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) i))
(.f64 (/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) i)
(.f64 (/.f64 (.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/2 binary64)) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (.f64 i (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal -1/2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 (*.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) i)
(.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) i) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal -1/2 binary64) i) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 (.f64 i #s(literal 1/4 binary64)) i))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i))
(.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) i) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 i)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i i) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval130.0ms (1.8%)

Memory: -20.6MiB live, 139.3MiB allocated
Compiler: Compiled 17 964 to 1 916 computations (89.3% saved)

prune15.0ms (0.2%)

Memory

-4.3MiB live, 38.6MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	587	4	591
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	591	6	597

Accuracy

100.0%

Counts

597 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
▶	99.8%	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
▶	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 162 to 84 computations (48.1% saved)

simplify162.0ms (2.2%)

Memory

-9.5MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 (.f64 i i) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
cost-diff	320	(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
cost-diff	0	(*.f64 (neg.f64 i) i)
cost-diff	0	(fma.f64 i i #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) i)
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	197
0	55	189
1	111	185
2	311	169
3	1354	169
4	4396	163
5	6821	163
0	8199	157

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) i)
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
i
#s(literal -1/4 binary64)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 i (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) i)
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) i) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
i
#s(literal -1/4 binary64)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)

localize120.0ms (1.7%)

Memory

23.2MiB live, 145.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(.f64 (.f64 i i) #s(literal -1/4 binary64))
accuracy	0.0078125	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
accuracy	15.74769998087549	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	0	#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
accuracy	0.0078125	(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy	0.0625	(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
accuracy	0.07421875	(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
accuracy	0	(*.f64 (neg.f64 i) i)
accuracy	0	(neg.f64 i)
accuracy	0.078125	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
accuracy	34.49043830853276	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
accuracy	0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	34.590005314835146	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))

Samples

100.0ms

256×

valid

Compiler

Compiled 376 to 77 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 22.0ms (53.4% of total)

ival-div: 10.0ms (24.3% of total)

ival-add: 5.0ms (12.1% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

17 → 48

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(neg.f64 i)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
1
(+ 1 (* 2 i))
(pow i 2)
(+ 1 (* -4 (pow i 2)))
(* -1 i)
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* 2 i)
(* i (+ 2 (/ 1 i)))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
4
(- 4 (* 2 (/ 1 i)))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (* i (/ 1/2 (+ (* 2 i) 1))) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (/ 1/2 (+ (* 2 i) 1)) (+ (* 2 i) 1) (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) (+ (* -4 (* i i)) 1) (neg i) (* (/ (+ (* 2 i) -1) i) 2))

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (* i (/ 1/2 (+ (* 2 i) 1))) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (/ 1/2 (+ (* 2 i) 1)) (+ (* 2 i) 1) (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) (+ (* -4 (* i i)) 1) (neg i) (* (/ (+ (* 2 i) -1) i) 2))

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (* i (/ 1/2 (+ (* 2 i) 1))) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (/ 1/2 (+ (* 2 i) 1)) (+ (* 2 i) 1) (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) (+ (* -4 (* i i)) 1) (neg i) (* (/ (+ (* 2 i) -1) i) 2))

simplify484.0ms (6.7%)

Memory

1.0MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	387
1	367	369
2	827	355
3	2080	351
4	5307	351
5	7763	351
0	8254	332

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
1
(+ 1 (* 2 i))
(pow i 2)
(+ 1 (* -4 (pow i 2)))
(* -1 i)
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* 2 i)
(* i (+ 2 (/ 1 i)))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
4
(- 4 (* 2 (/ 1 i)))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (+ 1/2 (* -1 i)))
(*.f64 (-.f64 #s(literal 1/2 binary64) i) i)
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 i))
(-.f64 #s(literal 1/2 binary64) i)
(+ 1/2 (* i (- (* 2 i) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(pow i 2)
(*.f64 i i)
(+ 1 (* -4 (pow i 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))
(* -1 i)
(neg.f64 i)
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 4 i) 2) i)
(-.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(- 1/4 (* 1/8 (/ 1 i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (+ 2 (/ 1 i)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(* -4 (pow i 2))
(.f64 #s(literal -4 binary64) (.f64 i i))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 i)))
(-.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -4 binary64))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)

rewrite194.0ms (2.7%)

Memory

-14.8MiB live, 183.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	176
0	55	164
1	228	158
2	1747	150
0	8805	148

Stop Event

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

Counts

17 → 606

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(neg.f64 i)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) i)) (*.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) i) (neg.f64 (*.f64 #s(literal 1/2 binary64) i)))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 i i) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 i i) (neg.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 (neg.f64 i) i) (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(.f64 (pow.f64 i #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 i (.f64 #s(literal -1/4 binary64) i))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)))) (.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (neg.f64 (.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 i) i) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i)))
(neg.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (.f64 i i) (*.f64 i #s(literal 4 binary64)))) i))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 i (.f64 i #s(literal 4 binary64)))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 i #s(literal 1/4 binary64))) i))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 i (.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64))) (/.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (.f64 (.f64 i i) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 i i)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) (pow.f64 i #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i i) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 i) (.f64 i (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 i) (.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 i #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (.f64 (neg.f64 i) i)) (pow.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(.f64 (.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
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(.f64 #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64))
(/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))

eval72.0ms (1%)

Memory: 22.1MiB live, 134.0MiB allocated
Compiler: Compiled 17 921 to 1 938 computations (89.2% saved)

prune14.0ms (0.2%)

Memory

10.2MiB live, 46.5MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	600	2	602
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	601	7	608

Accuracy

100.0%

Counts

608 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
▶	48.0%	(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
▶	75.3%	(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
✓	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 179 to 95 computations (46.9% saved)

simplify173.0ms (2.4%)

Memory

-42.7MiB live, 88.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
cost-diff	0	#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) i)
cost-diff	320	(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	33	114
1	59	112
2	101	112
3	148	108
4	184	108
5	226	108
6	273	104
7	442	104
8	749	104
9	1263	104
10	1686	104
11	2666	104
12	5148	104
13	7293	104
0	8136	101

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
i
#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 i #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
i
(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1/2 binary64) i) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
(.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i)
i
#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)

localize53.0ms (0.7%)

Memory

9.3MiB live, 80.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
accuracy	0.0625	(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
accuracy	0.07421875	(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
accuracy	33.24746249716445	#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 4 binary64) i)
accuracy	0	(*.f64 #s(literal 1/2 binary64) i)
accuracy	0.07421875	(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
accuracy	15.119191882756551	(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Samples

38.0ms

256×

valid

Compiler

Compiled 215 to 50 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (50.5% of total)

ival-div: 8.0ms (28.9% of total)

ival-add: 4.0ms (14.4% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

9 → 48

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 4 binary64) i)

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(/ -2 i)
(/ (- (* 4 i) 2) i)
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/4
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
4
(- 4 (* 2 (/ 1 i)))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((* (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1))) (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (/ 1/2 (+ (* 2 i) 1)) (* (/ (+ (* 2 i) -1) i) 2) (* 4 i))

2.0ms

inf

((* (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1))) (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (/ 1/2 (+ (* 2 i) 1)) (* (/ (+ (* 2 i) -1) i) 2) (* 4 i))

1.0ms

((* (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1))) (* 1/2 i) (/ (* 1/2 i) (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (/ 1/2 (+ (* 2 i) 1)) (* (/ (+ (* 2 i) -1) i) 2) (* 4 i))

simplify158.0ms (2.2%)

Memory

5.7MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	477
1	440	459
2	1004	443
3	2302	438
4	6049	438
0	8124	417

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(/ -2 i)
(/ (- (* 4 i) 2) i)
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/4
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
4
(- 4 (* 2 (/ 1 i)))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) i) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -2 (pow i 2)) 1/2))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 i i) #s(literal -1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (.f64 i i) #s(literal -2 binary64)) (*.f64 i i) #s(literal -1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -32 binary64) (.f64 i i) #s(literal -8 binary64)) (.f64 i i) #s(literal -2 binary64)) (.f64 i i) #s(literal -1/2 binary64)) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* i (+ 1/2 (* -1 i)))
(*.f64 (-.f64 #s(literal 1/2 binary64) i) i)
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 i))
(-.f64 #s(literal 1/2 binary64) i)
(+ 1/2 (* i (- (* 2 i) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 4 i) 2) i)
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal -1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/8 binary64)) (-.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/32 binary64) (*.f64 i i)))) i)
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 1/8 (/ 1 i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (*.f64 i i)) #s(literal 1/32 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 i i)) #s(literal 1/128 binary64)) (pow.f64 i #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)

rewrite449.0ms (6.2%)

Memory

-94.6MiB live, 288.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	33	98
1	140	96
2	974	92
0	8616	87

Stop Event

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

Counts

9 → 433

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 4 binary64) i)

Outputs
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i)))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i)))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal 2 binary64))) i)
(.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (*.f64 i i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (.f64 i i) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (.f64 i i) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 4 binary64) i #s(literal -2 binary64))))
(.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 (.f64 i i) #s(literal 1/2 binary64)))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) (*.f64 i #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))) (.f64 i #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i)))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) i)
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) i))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 i i) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 i i) (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 i (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i))
(.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 i #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 i i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i) (.f64 i #s(literal 1/2 binary64)))
(.f64 i (.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 i (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i)) #s(literal 1/2 binary64)))
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(pow.f64 (/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(/.f64 (.f64 (.f64 #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64)) i) #s(literal -1 binary64)) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64)))) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(/.f64 (pow.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(/.f64 (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))))
(/.f64 i (/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))))
(neg.f64 (/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))) (/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))) i)
(.f64 (neg.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) (neg.f64 i))
(.f64 (neg.f64 i) (neg.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64)) i) #s(literal 1 binary64))
(.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)) i)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64)) i))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))))
(.f64 i (.f64 #s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 i (neg.f64 (neg.f64 #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))))
(.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64)))
(neg.f64 (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 i) #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))))
#s(approx (/ 1/2 (+ (* 2 i) 1)) #s(literal 1/2 binary64))
(.f64 #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
#s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64))
(/.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) i))
(.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))
(.f64 (.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) i)
(*.f64 i #s(literal 4 binary64))

eval104.0ms (1.4%)

Memory: -7.4MiB live, 157.9MiB allocated
Compiler: Compiled 11 967 to 1 515 computations (87.3% saved)

prune13.0ms (0.2%)

Memory

-1.9MiB live, 35.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	492	3	495
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	494	8	502

Accuracy

100.0%

Counts

502 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
	5.3%	(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))
	56.0%	(/.f64 #s(approx (* i (/ 1/2 (+ (* 2 i) 1))) #s(literal 1/4 binary64)) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
	75.3%	(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	46.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
✓	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	54.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 585 to 196 computations (66.5% saved)

regimes10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 #s(approx (* i (/ 1/2 (+ (* 2 i) 1))) #s(literal 1/4 binary64)) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))

Calls

2 calls:

5.0ms

4.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`i`
99.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes13.0ms (0.2%)

Memory

-28.8MiB live, 14.9MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 #s(approx (* i (/ 1/2 (+ (* 2 i) 1))) #s(literal 1/4 binary64)) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) i) (/.f64 (.f64 #s(literal 1/2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))

Outputs

(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

8.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

4.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`
80.8%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 #s(approx (* i (/ 1/2 (+ (* 2 i) 1))) #s(literal 1/4 binary64)) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(/.f64 (.f64 i #s(approx (/ 1/2 (+ ( 2 i) 1)) #s(literal 1/2 binary64))) #s(approx (* (/ (+ (* 2 i) -1) i) 2) #s(literal 4 binary64)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-27.8MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

3.0ms

1.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
54.7%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
54.7%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	3064874.5126212444	86208765113.20306

Samples

1.0ms

16×

valid

Compiler

Compiled 67 to 37 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0001328010985472795	0.5556617225183537

Samples

8.0ms

128×

valid

Compiler

Compiled 572 to 286 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.1% of total)

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001328010985472795	0.5556617225183537

Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001328010985472795	0.5556617225183537

Compiler

Compiled 492 to 238 computations (51.6% saved)

bsearch3.0ms (0%)

Memory

-34.8MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001328010985472795	0.5556617225183537

Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify26.0ms (0.4%)

Memory

12.8MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	356
1	74	356
2	88	356
3	103	356
4	111	356
5	115	356
6	116	356

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(if (<=.f64 i #s(literal 5000000 binary64)) (.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(approx ( (/ (+ (* 2 i) -1) i) 2) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))))
(if (<=.f64 i #s(literal 5000000 binary64)) (.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 5000000 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.4s (19.8%)

Memory

28.9MiB live, 703.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	94	123
2	218	122
3	505	118
4	1055	118
5	2101	118
6	3996	118
7	6196	118
0	8150	113
0	23	98
0	33	98
1	140	96
2	974	92
0	8616	87
0	38	176
0	55	164
1	228	158
2	1747	150
0	8805	148
0	35	212
0	50	188
1	206	180
2	1609	160
0	8530	153
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	27
0	134	401
1	374	383
2	864	365
3	2209	361
4	6460	361
0	8099	343

Stop Event

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

Compiler

Compiled 517 to 152 computations (70.6% saved)

preprocess134.0ms (1.9%)

Memory: -16.9MiB live, 97.9MiB allocated
Remove: (abs i)
Compiler: Compiled 934 to 228 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.3s (17.9%)

explain254.0ms (3.5%)

preprocess232.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify180.0ms (2.5%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

simplify208.0ms (2.9%)

rewrite144.0ms (2%)

eval126.0ms (1.7%)

prune14.0ms (0.2%)

simplify148.0ms (2.1%)

localize368.0ms (5.1%)

series10.0ms (0.1%)

simplify196.0ms (2.7%)

rewrite210.0ms (2.9%)

eval130.0ms (1.8%)

prune15.0ms (0.2%)

simplify162.0ms (2.2%)

localize120.0ms (1.7%)

series7.0ms (0.1%)

simplify484.0ms (6.7%)

rewrite194.0ms (2.7%)

eval72.0ms (1%)

prune14.0ms (0.2%)

simplify173.0ms (2.4%)

localize53.0ms (0.7%)

series5.0ms (0.1%)

simplify158.0ms (2.2%)

rewrite449.0ms (6.2%)

eval104.0ms (1.4%)

prune13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

simplify26.0ms (0.4%)

soundness1.4s (19.8%)

preprocess134.0ms (1.9%)

end0.0ms (0%)

Profiling