Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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)

sample1.6s (33.5%)

Memory

-21.1MiB live, 1 712.4MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-mult: 469.0ms (66% of total)

ival-div: 132.0ms (18.6% of total)

ival->: 47.0ms (6.6% of total)

ival-sub: 41.0ms (5.8% of total)

exact: 15.0ms (2.1% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain198.0ms (4.1%)

Memory

27.7MiB live, 355.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
191	1	(1.4592152055822332e-161)	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
73	0	-	-	`(/.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	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	-	`(*.f64 i i)`
0	0	-	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	-	`i`
0	0	-	-	`#s(literal 2 binary64)`
0	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	73	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	146
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
`/.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	73	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	146
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	73
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	73
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	61	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	122
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	61
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	29	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	122
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	29	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	146

Confusion

	Predicted +	Predicted -
+	191	0
-	1	64

Precision

0.9947916666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	0	0
-	1	0	64

Precision?

0.9947916666666666

Recall?

1.0

Freqs

test

number	freq
0	64
1	119
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 20.0ms (66.5% of total)

ival-div: 6.0ms (19.9% of total)

ival-sub: 3.0ms (10% of total)

ival-true: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess154.0ms (3.2%)

Memory

-22.0MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	62	43
2	503	26
3	4001	26
0	10	25
0	17	21
1	56	19
2	382	13
3	3064	13
0	8431	12

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

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.5%	(/.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

▶

26.5%

(/.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)

simplify144.0ms (3%)

Memory

7.0MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	4	(.f64 (.f64 i i) (*.f64 i i))
cost-diff	4	(/.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	56	56
2	382	42
3	3064	42
0	8431	40

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

localize45.0ms (0.9%)

Memory

-8.6MiB live, 99.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.10384750976844202	(.f64 (.f64 i i) (*.f64 i i))
accuracy	17.689303920829385	(/.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	42.905400747119494	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

25.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (47.2% of total)

ival-mult: 6.0ms (40.5% of total)

ival-sub: 1.0ms (6.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 15

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 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 (.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 #s(literal 2 binary64) i)

Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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))))))

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) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
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) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
2.0ms	i	@	0	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 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)) (* 2 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) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))

2.0ms

-inf

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 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)) (* 2 i))

2.0ms

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 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)) (* 2 i))

simplify190.0ms (3.9%)

Memory

22.1MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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))))))

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

rewrite52.0ms (1.1%)

Memory

11.0MiB live, 99.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	79	44
0	661	42

Stop Event

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

Counts

6 → 166

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 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 (.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 #s(literal 2 binary64) i)

Outputs
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i #s(literal 4 binary64))) (/.f64 i i))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (.f64 i i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 i) i) i))
(.f64 (/.f64 (.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 i i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 2 binary64) i)) (/.f64 (.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i i) i))
(.f64 (/.f64 (.f64 i i) #s(literal 4 binary64)) (/.f64 (.f64 i i) (.f64 i i)))
(.f64 (/.f64 (.f64 i i) (.f64 #s(literal -2 binary64) i)) (/.f64 (.f64 i i) (*.f64 #s(literal -2 binary64) i)))
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(+.f64 i i)

eval28.0ms (0.6%)

Memory: -24.4MiB live, 73.0MiB allocated
Compiler: Compiled 5 966 to 690 computations (88.4% saved)

prune9.0ms (0.2%)

Memory

-14.4MiB live, 31.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	226	7	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	72.3%	(.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
▶	51.4%	#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)))
	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 446 to 216 computations (51.6% saved)

simplify115.0ms (2.4%)

Memory

11.8MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	245
0	51	217
1	119	183
2	587	173
3	4251	173
0	8224	173

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.5%)

Memory

30.0MiB live, 170.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(neg.f64 i)
accuracy	0.041347509768442016	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy	32.58360254714934	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.2962380415665856	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	31.133082828014455	#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	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	32.765422730181655	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
accuracy	30.924771001962284	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))
accuracy	0.0	(*.f64 i i)
accuracy	0.10546875	(.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))
accuracy	17.082465839901005	(/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 223 to 33 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (53.3% of total)

ival-div: 9.0ms (25.2% of total)

ival-add: 2.0ms (5.6% of total)

ival-sub: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.3%)

Memory

-13.5MiB live, 29.7MiB allocated

Counts

18 → 31

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	i	@	inf	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* 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) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (neg i))
3.0ms	i	@	-inf	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* 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) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (neg i))
3.0ms	i	@	0	((* (* (/ i 2) (/ i i)) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1))) (* (/ i 2) (/ i i)) (/ i i) (/ i 2) (/ (/ (* (* 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) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (/ (* (/ i 2) (/ i i)) (+ (* 4 (* i i)) -1)) (neg i))

Time

Variable

Point

Expression

6.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify131.0ms (2.7%)

Memory

4.7MiB live, 151.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	294
1	273	294
2	749	280
3	2786	280
4	7650	280
0	9466	280

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

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

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

rewrite62.0ms (1.3%)

Memory

24.9MiB live, 69.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	51	185
1	196	149
0	1368	149

Stop Event

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

Counts

18 → 179

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (-.f64 (*.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 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 i (.f64 (.f64 i i) #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(.f64 (.f64 i i) (/.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) i)
(/.f64 (.f64 (.f64 i i) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 (neg.f64 i) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 i (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) i) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 (.f64 i #s(literal 1/2 binary64)) i)) i)
(/.f64 (.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 i i)) (.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 (/.f64 i #s(literal -2 binary64)) i) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 i #s(literal -2 binary64)) (.f64 (.f64 i #s(literal 1/2 binary64)) i)) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) i))
(/.f64 (.f64 (/.f64 i #s(literal -2 binary64)) (.f64 i i)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 i #s(literal 1/2 binary64)) i)) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i i)) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 i (/.f64 i #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (/.f64 i #s(literal -2 binary64))) (.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 i #s(literal 1/2 binary64))) (.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i i) (/.f64 i #s(literal -2 binary64))) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))
(/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) (.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 i) #s(literal 2 binary64)) (/.f64 (fabs.f64 i) i))
(*.f64 (/.f64 (fabs.f64 i) i) (/.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 i) i) (/.f64 i #s(literal -2 binary64)))
(*.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 (neg.f64 i) i))
(.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 (neg.f64 i) (/.f64 (neg.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 1/2 binary64))
(.f64 i (/.f64 i (.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 i i) i) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) i)
(/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 (.f64 i i) (.f64 #s(literal 2 binary64) i))
(/.f64 i #s(literal 2 binary64))
(neg.f64 (/.f64 i #s(literal -2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (fabs.f64 i) #s(literal 2 binary64)) (/.f64 (fabs.f64 i) i))
(*.f64 (/.f64 (fabs.f64 i) i) (/.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 i) i) (/.f64 i #s(literal -2 binary64)))
(*.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 (neg.f64 i) i))
(.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 (neg.f64 i) (/.f64 (neg.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 1/2 binary64))
(.f64 i (/.f64 i (.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 i i) i) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) i)
(/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 (.f64 i i) (.f64 #s(literal 2 binary64) i))
(/.f64 i #s(literal 2 binary64))
(neg.f64 (/.f64 i #s(literal -2 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 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(.f64 i (.f64 #s(literal -1/4 binary64) i))
(*.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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/1024 binary64) (.f64 i i)))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(.f64 (.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
(.f64 i (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i))
(/.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 i i)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (.f64 i i)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 i i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 i i) (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 i) (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 i (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 i) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 (.f64 i i) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 i (.f64 #s(literal 2 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(neg.f64 i)

eval32.0ms (0.7%)

Memory: -26.4MiB live, 60.7MiB allocated
Compiler: Compiled 6 990 to 785 computations (88.8% saved)

prune7.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	244	7	251

Accuracy

100.0%

Counts

251 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
▶	72.3%	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
✓	51.4%	#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)))
▶	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 204 to 105 computations (48.5% saved)

simplify102.0ms (2.1%)

Memory

-23.2MiB live, 117.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	280
0	60	272
1	136	266
2	648	248
3	4140	248
0	8287	246

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.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 #s(approx (- ( (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))) (*.f64 i i)))
(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(.f64 #s(approx (- ( (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (- (* (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
#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 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #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 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 i i))
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
(-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 i i))
#s(literal -4 binary64)
(*.f64 i i)
i
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i i) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 i (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(/.f64 i #s(literal -2 binary64))
i
#s(literal -2 binary64)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
#s(literal -4 binary64)
(*.f64 i i)
#s(literal 1 binary64)
(*.f64 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 i i) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(.f64 (.f64 #s(literal 1/2 binary64) i) i)
(*.f64 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
i
#s(literal 1/2 binary64)
(.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)

localize190.0ms (3.9%)

Memory

4.6MiB live, 167.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 i #s(literal 1/2 binary64)) i)
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	17.689303920829385	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	0.10546875	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
accuracy	17.082465839901005	(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	0.03515625	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
accuracy	0.0390625	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
accuracy	0.046875	(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
accuracy	32.51908119469315	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy	0.041347509768442016	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
accuracy	32.58360254714934	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))

Samples

161.0ms

256×

valid

Compiler

Compiled 241 to 40 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 52.0ms (74.8% of total)

ival-div: 7.0ms (10.1% of total)

ival-sub: 5.0ms (7.2% of total)

ival-add: 2.0ms (2.9% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

18 → 47

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.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 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
(/.f64 i #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(*.f64 i #s(literal 1/2 binary64))
(*.f64 i i)
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 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
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(* -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
(+ 1 (* -4 (pow i 2)))
-2
(- (* 8 (pow i 2)) 2)
(* 1/2 (pow i 2))
(* 1/2 i)
(pow i 2)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
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))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 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) (- (/ 1 (pow i 2)) 4))
(* 8 (pow i 2))
(* (pow i 2) (- 8 (* 2 (/ 1 (pow i 2)))))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(* -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))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify113.0ms (2.3%)

Memory

-18.3MiB live, 130.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	438
1	348	438
2	1040	428
3	3583	418
0	8353	415

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(* -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
(+ 1 (* -4 (pow i 2)))
-2
(- (* 8 (pow i 2)) 2)
(* 1/2 (pow i 2))
(* 1/2 i)
(pow i 2)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
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))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 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) (- (/ 1 (pow i 2)) 4))
(* 8 (pow i 2))
(* (pow i 2) (- 8 (* 2 (/ 1 (pow i 2)))))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(* -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))

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

rewrite140.0ms (2.9%)

Memory

-5.7MiB live, 229.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	234
0	60	222
1	235	216
2	1716	203
0	9223	199

Stop Event

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

Counts

18 → 536

Calls

Call 1

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

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

eval96.0ms (2%)

Memory: 6.4MiB live, 148.1MiB allocated
Compiler: Compiled 26 158 to 2 745 computations (89.5% saved)

prune28.0ms (0.6%)

Memory

-0.9MiB live, 43.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	720	1	721
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	722	6	728

Accuracy

100.0%

Counts

728 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
✓	72.3%	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
✓	51.4%	#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)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 169 to 90 computations (46.7% saved)

simplify33.0ms (0.7%)

Memory

1.5MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 i #s(literal 1/2 binary64)) i)
cost-diff	0	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	23	59
1	43	59
2	116	53
3	322	53
4	717	53
5	1070	53
6	1177	53
7	1349	53
8	1420	53
0	1420	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(*.f64 i #s(literal 1/2 binary64))
i
#s(literal 1/2 binary64)
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))
#s(literal 8 binary64)
(*.f64 i i)
#s(literal -2 binary64)

Outputs
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(.f64 (.f64 #s(literal 1/2 binary64) i) i)
(*.f64 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
i
#s(literal 1/2 binary64)
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))
(fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))
#s(literal 8 binary64)
(*.f64 i i)
#s(literal -2 binary64)

localize38.0ms (0.8%)

Memory

9.2MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
accuracy	17.689303920829385	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))

Samples

29.0ms

256×

valid

Compiler

Compiled 48 to 18 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 11.0ms (49.3% of total)

ival-mult: 9.0ms (40.3% of total)

ival-div: 2.0ms (9% of total)

exact: 1.0ms (4.5% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 15

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(*.f64 i #s(literal 1/2 binary64))
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(*.f64 i 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 (pow i 2))
(* 1/2 i)
-2
(- (* 8 (pow i 2)) 2)
(pow i 2)
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))))))
(* 8 (pow i 2))
(* (pow i 2) (- 8 (* 2 (/ 1 (pow i 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify118.0ms (2.4%)

Memory

1.8MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	126
1	105	126
2	233	126
3	590	126
4	1716	126
5	3953	126
6	6402	126
0	8851	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

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 (pow i 2))
(* 1/2 i)
-2
(- (* 8 (pow i 2)) 2)
(pow i 2)
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))))))
(* 8 (pow i 2))
(* (pow i 2) (- 8 (* 2 (/ 1 (pow i 2)))))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/2 (pow i 2))
(.f64 #s(literal 1/2 binary64) (.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
-2
#s(literal -2 binary64)
(- (* 8 (pow i 2)) 2)
(fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))
(pow i 2)
(*.f64 i 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))))
(* 8 (pow i 2))
(.f64 #s(literal 8 binary64) (.f64 i i))
(* (pow i 2) (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))

rewrite225.0ms (4.7%)

Memory

-34.0MiB live, 159.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	49
0	23	49
1	73	49
2	410	43
3	3950	43
0	11049	43

Stop Event

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

Counts

5 → 40

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) i)
(*.f64 i #s(literal 1/2 binary64))
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(*.f64 i i)

Outputs
(.f64 (/.f64 (.f64 i i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))) i)
(.f64 (/.f64 i #s(approx ( (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (.f64 i i) #s(literal -2 binary64)))) (.f64 #s(literal -1/2 binary64) i))
(.f64 (.f64 i i) (/.f64 #s(literal 1/2 binary64) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(.f64 (.f64 i i) (/.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal -1/2 binary64) i) (/.f64 i #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 i i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(.f64 i (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) (neg.f64 #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 i i))
(.f64 (.f64 i i) #s(literal -1/2 binary64))
(.f64 (.f64 i i) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) i) i)
(.f64 #s(literal 1/2 binary64) (.f64 i i))
(.f64 i (.f64 #s(literal -1/2 binary64) i))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i))
(*.f64 #s(literal -1/2 binary64) i)
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 i #s(literal -1/2 binary64))
(*.f64 i #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) i))
#s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))
(neg.f64 (neg.f64 #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 i #s(literal 3 binary64))) (sqrt.f64 i))
(*.f64 (sqrt.f64 i) (sqrt.f64 (pow.f64 i #s(literal 3 binary64))))
(*.f64 i i)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 i))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 i i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 i i))
(exp.f64 (/.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))))

eval6.0ms (0.1%)

Memory: 10.4MiB live, 10.4MiB allocated
Compiler: Compiled 1 295 to 206 computations (84.1% saved)

prune5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	54	6	60

Accuracy

100.0%

Counts

60 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
✓	72.3%	(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 binary64)))
✓	51.4%	#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)))
✓	48.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 509 to 173 computations (66% saved)

regimes7.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

12 → 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 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i #s(literal 1/2 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)))
(.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))))

Outputs

(/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64))))

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

Calls

2 calls:

4.0ms

3.0ms

(/.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
76.9%	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)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

5 → 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 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(approx (- ( (neg i) i) 1/4) (-.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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #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(approx (- (* (neg i) i) 1/4) (-.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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

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

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.0MiB 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 (*.f64 #s(literal -1/4 binary64) i) i))

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:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes36.0ms (0.7%)

Memory

-39.9MiB live, 4.5MiB 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:

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
51.7%	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)))`
51.7%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	288.9291130083642	892809614.8948392

Samples

3.0ms

48×

valid

Compiler

Compiled 175 to 107 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (50.8% of total)

ival-mult: 1.0ms (50.8% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.06515003269206365	205.4994502236581

Samples

8.0ms

128×

valid

Compiler

Compiled 628 to 318 computations (49.4% saved)

Precisions

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

ival-mult: 3.0ms (57.3% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.06515003269206365	205.4994502236581

Compiler

Compiled 580 to 286 computations (50.7% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.06515003269206365	205.4994502236581

Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify66.0ms (1.4%)

Memory

-25.5MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	294
1	98	278
2	467	246
3	3369	246

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 40000000 binary64)) (/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (.f64 i i) #s(literal -2 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 #s(approx (- ( (neg i) i) 1/4) (-.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 #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 #s(approx (- ( (neg i) i) 1/4) (-.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)) #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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 40000000 binary64)) (/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) #s(approx (* (+ (* (* i i) 4) -1) 2) (fma.f64 #s(literal 8 binary64) (.f64 i i) #s(literal -2 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 #s(approx (- ( (neg i) i) 1/4) (-.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 #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 #s(approx (- ( (neg i) i) 1/4) (-.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)) #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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations675.0ms (14%)

Memory

8.4MiB live, 574.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124
0	111	294
1	273	294
2	749	280
3	2786	280
4	7650	280
0	9466	280
0	35	221
0	51	185
1	196	149
0	1368	149
0	133	438
1	348	438
2	1040	428
3	3583	418
0	8353	415
0	10	66
0	17	50
1	79	44
0	661	42

Stop Event

1×	done
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
1×	iter limit
1×	node limit

Compiler

Compiled 294 to 49 computations (83.3% saved)

preprocess31.0ms (0.6%)

Memory: 34.2MiB live, 75.7MiB allocated
Remove: (abs i)
Compiler: Compiled 744 to 176 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.6s (33.5%)

explain198.0ms (4.1%)

preprocess154.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify144.0ms (3%)

localize45.0ms (0.9%)

series6.0ms (0.1%)

simplify190.0ms (3.9%)

rewrite52.0ms (1.1%)

eval28.0ms (0.6%)

prune9.0ms (0.2%)

simplify115.0ms (2.4%)

localize74.0ms (1.5%)

series13.0ms (0.3%)

simplify131.0ms (2.7%)

rewrite62.0ms (1.3%)

eval32.0ms (0.7%)

prune7.0ms (0.2%)

simplify102.0ms (2.1%)

localize190.0ms (3.9%)

series8.0ms (0.2%)

simplify113.0ms (2.3%)

rewrite140.0ms (2.9%)

eval96.0ms (2%)

prune28.0ms (0.6%)

simplify33.0ms (0.7%)

localize38.0ms (0.8%)

series3.0ms (0.1%)

simplify118.0ms (2.4%)

rewrite225.0ms (4.7%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

regimes7.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes36.0ms (0.7%)

bsearch6.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify66.0ms (1.4%)

derivations675.0ms (14%)

preprocess31.0ms (0.6%)

end0.0ms (0%)

Profiling