Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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)

sample973.0ms (30.2%)

Memory

43.4MiB live, 1 450.4MiB allocated

Samples

709.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-mult: 223.0ms (47.5% of total)

ival-div: 137.0ms (29.2% of total)

ival-sub: 63.0ms (13.4% of total)

ival->: 28.0ms (6% of total)

exact: 15.0ms (3.2% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain164.0ms (5.1%)

Memory

-1.3MiB live, 194.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
174	1	(5.343995831147277e-162)	2	(3.6452825065775166e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
73	0	-	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	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	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	101
↳	`(*.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	101
↳	`(*.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	51	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	72
↳	`(*.f64 i i)`	underflow	102
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	51
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	28	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	101
↳	`(*.f64 i i)`	overflow	146
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	21	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	72
↳	`(*.f64 i i)`	underflow	102

Confusion

	Predicted +	Predicted -
+	172	2
-	1	81

Precision

0.9942196531791907

Recall

0.9885057471264368

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	172	0	2
-	1	0	81

Precision?

0.9942196531791907

Recall?

0.9885057471264368

Freqs

test

number	freq
0	83
1	100
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 245 to 44 computations (82% saved)

Precisions

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

ival-mult: 12.0ms (55.5% of total)

ival-div: 6.0ms (27.7% of total)

ival-sub: 2.0ms (9.2% of total)

exact: 1.0ms (4.6% of total)

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

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

preprocess132.0ms (4.1%)

Memory

3.0MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	70	43
2	556	26
3	5425	26
0	10	25
0	17	21
1	60	19
2	409	13
3	3738	13
0	8413	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)))

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))

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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.7%	(/.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

▶

33.7%

(/.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize26.0ms (0.8%)

Memory

8.7MiB live, 46.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.1484375	(.f64 (.f64 i i) (*.f64 i i))
accuracy	17.685397670829385	(/.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	38.40983090130287	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

19.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (58.2% of total)

ival-div: 3.0ms (24.9% of total)

ival-sub: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 14

Calls

Call 1

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

Outputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 4)
-1
(- (* 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))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

Calls

3 calls:

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

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)) 1))

1.0ms

((/ (* (* 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)) 1))

1.0ms

-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)) 1))

simplify136.0ms (4.2%)

Memory

-37.2MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	104	123
2	264	122
3	1015	118
4	4354	118
0	8434	113

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 4)
-1
(- (* 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))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))

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

rewrite82.0ms (2.6%)

Memory

-1.0MiB live, 81.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
0	17	42
1	91	34
0	940	32

Stop Event

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

Counts

4 → 177

Calls

Call 1

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

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

eval19.0ms (0.6%)

Memory: 0.8MiB live, 38.5MiB allocated
Compiler: Compiled 4 521 to 580 computations (87.2% saved)

prune5.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	185	5	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	186	5	191

Accuracy

100.0%

Counts

191 → 5

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)))
▶	55.5%	#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)))
▶	45.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
▶	44.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	55.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 314 to 150 computations (52.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize58.0ms (1.8%)

Memory

-14.6MiB live, 102.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0.915278233542496	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	28.4847073755287	#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 i i)
accuracy	0.03515625	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	0.05078125	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	35.16830392991369	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
accuracy	0.0	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	35.29238425186892	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	28.363825442849798	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.0	#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
accuracy	0.00390625	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	17.685397670829385	(/.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)))

Samples

41.0ms

256×

valid

Compiler

Compiled 492 to 58 computations (88.2% saved)

Precisions

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

ival-mult: 16.0ms (56.8% of total)

ival-div: 7.0ms (24.9% of total)

ival-sub: 3.0ms (10.7% of total)

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

exact: 1.0ms (3.6% of total)

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

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

series7.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

14 → 23

Calls

Call 1

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

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 (pow i 2)) 1)
(* 1/4 (pow i 2))
(* 1/4 i)
(pow i 2)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 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))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (* (* 2 i) (* 2 i)) 1) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 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)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) i) (* (* (- -1/4 (* i i)) i) i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ 1/64 (* i i)) (+ (/ 1/64 (* i i)) 1/16))
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (* (* 2 i) (* 2 i)) 1) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 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)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) i) (* (* (- -1/4 (* i i)) i) i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ 1/64 (* i i)) (+ (/ 1/64 (* i i)) 1/16))
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (* (* 2 i) (* 2 i)) 1) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 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)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) i) (* (* (- -1/4 (* i i)) i) i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ 1/64 (* i i)) (+ (/ 1/64 (* i i)) 1/16))

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify166.0ms (5.2%)

Memory

14.0MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	185
1	164	185
2	491	173
3	1987	169
4	6629	169
0	8135	164

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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 (pow i 2)) 1)
(* 1/4 (pow i 2))
(* 1/4 i)
(pow i 2)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 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))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

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

rewrite75.0ms (2.3%)

Memory

6.3MiB live, 43.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	226
0	46	190
1	171	170
0	1463	162

Stop Event

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

Counts

14 → 147

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) 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 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) 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))))
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(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 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)))

eval88.0ms (2.7%)

Memory: 3.1MiB live, 40.4MiB allocated
Compiler: Compiled 6 866 to 642 computations (90.6% saved)

prune13.0ms (0.4%)

Memory

-22.1MiB live, 16.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

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)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	55.5%	#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)))
▶	45.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	45.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
▶	44.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	55.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 189 to 90 computations (52.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize85.0ms (2.6%)

Memory

3.2MiB live, 97.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.0	#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
accuracy	0.00390625	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	17.685397670829385	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(neg.f64 i)
accuracy	0.08203125	(.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i))
accuracy	35.16830392991369	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
accuracy	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	35.29238425186892	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))

Samples

71.0ms

256×

valid

Compiler

Compiled 312 to 54 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 50.0ms (83.7% of total)

ival-div: 4.0ms (6.7% of total)

ival-add: 2.0ms (3.3% of total)

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

exact: 1.0ms (1.7% of total)

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

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

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

series5.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

11 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify149.0ms (4.6%)

Memory

-15.8MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	147
1	134	147
2	350	145
3	1294	141
4	5169	141
0	8421	136

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite78.0ms (2.4%)

Memory

8.0MiB live, 44.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	39	124
1	172	114
0	1438	112

Stop Event

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

Counts

11 → 130

Calls

Call 1

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

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

eval59.0ms (1.8%)

Memory: -6.5MiB live, 30.9MiB allocated
Compiler: Compiled 5 639 to 497 computations (91.2% saved)

prune7.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	165	6	171

Accuracy

100.0%

Counts

171 → 6

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)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	55.5%	#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)))
✓	45.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	45.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	44.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	55.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 465 to 138 computations (70.3% saved)

regimes37.0ms (1.1%)

Memory

-24.3MiB live, 12.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms

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
100.0%	2	`i`
80.7%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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
99.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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 #s(literal -1/4 binary64) (*.f64 i i)))

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 4.9MiB 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
55.7%	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)))`
55.7%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch29.0ms (0.9%)

Memory

-31.3MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	251138.30491256661	62446859.96536663

Samples

10.0ms

112×

valid

Compiler

Compiled 413 to 224 computations (45.8% saved)

Precisions

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

ival-mult: 3.0ms (65.6% of total)

ival-sub: 1.0ms (21.9% of total)

ival-div: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.24541280267717996	1.3333711444792375

Samples

6.0ms

96×

valid

Compiler

Compiled 436 to 218 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (52.3% of total)

ival-div: 1.0ms (26.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24541280267717996	1.3333711444792375

Compiler

Compiled 400 to 194 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24541280267717996	1.3333711444792375

Compiler

Compiled 376 to 182 computations (51.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24541280267717996	1.3333711444792375

Compiler

Compiled 376 to 182 computations (51.6% saved)

simplify64.0ms (2%)

Memory

4.0MiB live, 82.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	348
1	60	348
2	69	348
3	84	348
4	147	348
5	270	348
6	372	348
7	469	348
8	539	348
9	575	348
10	576	348

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 46000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 46000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness620.0ms (19.3%)

Memory

-5.7MiB live, 353.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	104	123
2	264	122
3	1015	118
4	4354	118
0	8434	113
0	32	226
0	46	190
1	171	170
0	1463	162

Stop Event

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

Compiler

Compiled 493 to 126 computations (74.4% saved)

preprocess108.0ms (3.4%)

Memory: -5.3MiB live, 112.0MiB allocated
Remove: (abs i)
Compiler: Compiled 864 to 156 computations (81.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	44	348
1	60	348
2	69	348
3	84	348
4	147	348
5	270	348
6	372	348
7	469	348
8	539	348
9	575	348
10	576	348

Iter	Nodes	Cost
0	44	348
1	60	348
2	69	348
3	84	348
4	147	348
5	270	348
6	372	348
7	469	348
8	539	348
9	575	348
10	576	348

start0.0ms (0%)

analyze3.0ms (0.1%)

sample973.0ms (30.2%)

explain164.0ms (5.1%)

preprocess132.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize26.0ms (0.8%)

series4.0ms (0.1%)

simplify136.0ms (4.2%)

rewrite82.0ms (2.6%)

eval19.0ms (0.6%)

prune5.0ms (0.2%)

simplify0.0ms (0%)

localize58.0ms (1.8%)

series7.0ms (0.2%)

simplify166.0ms (5.2%)

rewrite75.0ms (2.3%)

eval88.0ms (2.7%)

prune13.0ms (0.4%)

simplify0.0ms (0%)

localize85.0ms (2.6%)

series5.0ms (0.2%)

simplify149.0ms (4.6%)

rewrite78.0ms (2.4%)

eval59.0ms (1.8%)

prune7.0ms (0.2%)

regimes37.0ms (1.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch29.0ms (0.9%)

bsearch11.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify64.0ms (2%)

soundness620.0ms (19.3%)

preprocess108.0ms (3.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	44	348
1	60	348
2	69	348
3	84	348
4	147	348
5	270	348
6	372	348
7	469	348
8	539	348
9	575	348
10	576	348