Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.4s (19.9%)

Memory

-82.0MiB live, 1 135.2MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-mult: 225.0ms (50.5% of total)

ival-div: 117.0ms (26.3% of total)

ival-sub: 59.0ms (13.3% of total)

ival->: 27.0ms (6.1% of total)

exact: 14.0ms (3.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain237.0ms (3.4%)

Memory

18.4MiB live, 217.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
182	1	(1.4610393943649674e-161)	1	(6.2155274080246985e-80)	`(/.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	92
↳	`(*.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	92
↳	`(*.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	54	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	91
↳	`(*.f64 i i)`	underflow	110
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	54
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	36	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	91
↳	`(*.f64 i i)`	underflow	110
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	19	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	92
↳	`(*.f64 i i)`	overflow	146

Confusion

	Predicted +	Predicted -
+	181	1
-	1	73

Precision

0.9945054945054945

Recall

0.9945054945054945

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	0	1
-	1	0	73

Precision?

0.9945054945054945

Recall?

0.9945054945054945

Freqs

test

number	freq
0	74
1	109
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

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

ival-mult: 12.0ms (51.7% of total)

ival-div: 8.0ms (34.5% of total)

ival-sub: 2.0ms (8.6% of total)

exact: 1.0ms (4.3% of total)

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

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

preprocess311.0ms (4.4%)

Memory

-3.4MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	55	43
2	350	26
3	2862	26
4	7766	26
0	10	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5388	11
6	7401	11
0	8022	10

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.1%	(/.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)))

Status

Accuracy

Program

▶

31.1%

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

Compiler

Compiled 25 to 10 computations (60% saved)

simplify179.0ms (2.6%)

Memory

-1.6MiB live, 150.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	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)))
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	45	56
2	187	42
3	1060	42
4	3649	40
5	5388	40
6	7401	40
0	8022	38

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.6%)

Memory

-8.1MiB live, 43.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.15072250976844204	(.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	40.12580522943818	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

34.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

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

ival-mult: 17.0ms (77% of total)

ival-div: 3.0ms (13.6% of total)

ival-sub: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.0MiB live, 8.1MiB allocated

Counts

5 → 12

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

simplify147.0ms (2.1%)

Memory

-14.1MiB live, 150.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	111
1	89	111
2	199	110
3	447	106
4	913	106
5	1673	106
6	2908	106
7	5529	106
8	6611	106
0	8173	103

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite180.0ms (2.6%)

Memory

12.6MiB live, 123.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
0	17	43
1	75	37
2	653	25
0	8772	24

Stop Event

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

Counts

5 → 513

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

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

eval76.0ms (1.1%)

Memory: -8.5MiB live, 140.3MiB allocated
Compiler: Compiled 12 732 to 1 489 computations (88.3% saved)

prune33.0ms (0.5%)

Memory

-13.4MiB live, 43.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	594	6	600
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	595	6	601

Accuracy

100.0%

Counts

601 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	71.4%	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
▶	51.5%	#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)))
▶	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	48.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 304 to 150 computations (50.7% saved)

simplify238.0ms (3.4%)

Memory

20.0MiB live, 177.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	211
0	42	195
1	93	187
2	276	163
3	1262	163
4	4111	155
5	6542	155
0	8131	151

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (1%)

Memory

13.5MiB live, 85.2MiB 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	0.23940085639347305	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	31.070275755107716	#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	(neg.f64 i)
accuracy	0.04296875	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	0.0546875	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	32.4911035016745	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy	0.0	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	32.71186397346072	#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	30.97920705942894	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.17070127815304406	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	17.743985940131484	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))

Samples

58.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 23.0ms (49.4% of total)

ival-div: 17.0ms (36.5% of total)

ival-add: 3.0ms (6.4% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

15 → 33

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify242.0ms (3.5%)

Memory

-23.1MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	276
1	150	276
2	372	273
3	1055	265
4	3625	265
5	7517	265
0	8097	252

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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

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

rewrite343.0ms (4.9%)

Memory

12.9MiB live, 256.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	193
0	42	169
1	173	157
2	1351	141
0	9582	139

Stop Event

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

Counts

15 → 717

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))))
(/.f64 (-.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 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #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 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #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 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #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 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64) #s(literal 1/16 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))))
(fma.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.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)))))
(fma.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.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 (/.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 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(+.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))) (neg.f64 (/.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 (/.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 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64))
(*.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -64 binary64)))
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(neg.f64 (.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) i)
(.f64 (.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 i #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i i) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(/.f64 (*.f64 i i) (neg.f64 i))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval344.0ms (4.9%)

Memory: -2.6MiB live, 186.1MiB allocated
Compiler: Compiled 24 961 to 2 387 computations (90.4% saved)

prune54.0ms (0.8%)

Memory

-9.6MiB live, 61.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	804	3	807
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	806	7	813

Accuracy

100.0%

Counts

813 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i)))
✓	71.4%	(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (*.f64 i i))
▶	49.2%	(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
✓	51.5%	#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)))
✓	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	48.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 171 to 88 computations (48.5% saved)

simplify173.0ms (2.5%)

Memory

-2.5MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
0	39	127
1	95	123
2	317	113
3	1432	113
4	3527	113
5	7385	113
0	8068	107

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.2%)

Memory

14.6MiB live, 96.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal 4 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.7186377601310652	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i)))
accuracy	17.75640396130229	(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i))
accuracy	0.0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy	0.0	(*.f64 i i)
accuracy	17.743985940131484	(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
accuracy	32.23710552009114	#s(approx (/ -1/4 (+ (* -4 (* i i)) 1)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy	0.0	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
accuracy	0.0	(*.f64 i #s(literal -1/4 binary64))
accuracy	32.71186397346072	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))

Samples

68.0ms

256×

valid

Compiler

Compiled 120 to 28 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 33.0ms (72.4% of total)

ival-div: 7.0ms (15.4% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

series6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

11 → 32

Calls

Call 1

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

1.0ms

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

1.0ms

-inf

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

simplify246.0ms (3.5%)

Memory

-1.3MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	274
1	137	274
2	370	263
3	1152	255
4	2576	255
5	5207	255
0	8156	245

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

rewrite387.0ms (5.5%)

Memory

-14.5MiB live, 138.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	39	114
1	188	110
2	1441	92
0	8902	91

Stop Event

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

Counts

11 → 995

Calls

Call 1

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

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

eval267.0ms (3.8%)

Memory: -1.2MiB live, 201.5MiB allocated
Compiler: Compiled 24 998 to 3 309 computations (86.8% saved)

prune33.0ms (0.5%)

Memory

20.6MiB live, 59.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 101	2	1 103
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	1 103	7	1 110

Accuracy

100.0%

Counts

1 110 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (.f64 i i) (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
✓	49.2%	(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
✓	51.5%	#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)))
✓	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	48.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 178 to 93 computations (47.8% saved)

simplify106.0ms (1.5%)

Memory

3.2MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	26	85
1	48	85
2	83	79
3	118	79
4	190	79
5	328	73
6	742	73
7	1328	73
8	4217	73
9	6165	73
10	7465	73
0	8018	73

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

-3.8MiB live, 71.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	17.693210170829385	(/.f64 (.f64 i i) (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	#s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.29179248884008485	(/.f64 #s(literal 4 binary64) (*.f64 i i))
accuracy	0.7186377601310652	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))

Samples

28.0ms

256×

valid

Compiler

Compiled 73 to 19 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.4% of total)

ival-mult: 6.0ms (31% of total)

ival-sub: 3.0ms (15.5% of total)

ival-add: 2.0ms (10.3% of total)

exact: 1.0ms (5.2% of total)

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

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

series3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 18

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify132.0ms (1.9%)

Memory

17.5MiB live, 205.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	151
1	104	151
2	253	142
3	610	138
4	1355	138
5	2513	138
6	5303	138
0	8351	133

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

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

rewrite192.0ms (2.7%)

Memory

-48.3MiB live, 204.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	26	75
1	115	75
2	792	69
0	8494	66

Stop Event

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

Counts

7 → 395

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))) #s(literal -1 binary64))
(.f64 (pow.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64)))) #s(literal -1 binary64)))
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(.f64 #s(approx (/ ( (+ (* 4 (* i i)) -1) 4) (* i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal 16 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))))
(/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(fma.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 #s(literal -64 binary64) (.f64 i i) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) i #s(literal -4 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i #s(literal 4 binary64))) i #s(literal -4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 #s(literal 16 binary64) i) (/.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))
(fma.f64 (.f64 i #s(literal 4 binary64)) (.f64 i #s(literal 4 binary64)) #s(literal -4 binary64))
(fma.f64 #s(literal 256 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (.f64 i i) (/.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal 4 binary64) #s(literal -4 binary64))
(fma.f64 i (.f64 (.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(fma.f64 i (.f64 #s(literal 4 binary64) (.f64 i #s(literal 4 binary64))) #s(literal -4 binary64))
(fma.f64 i (*.f64 #s(literal 16 binary64) i) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(+.f64 (neg.f64 (.f64 #s(literal -16 binary64) (.f64 i i))) #s(literal -4 binary64))
(+.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (neg.f64 (.f64 #s(literal -16 binary64) (.f64 i i))))
(+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))

eval47.0ms (0.7%)

Memory: 22.7MiB live, 98.5MiB allocated
Compiler: Compiled 10 809 to 1 387 computations (87.2% saved)

prune11.0ms (0.2%)

Memory

-11.3MiB live, 31.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	451	7	458

Accuracy

100.0%

Counts

458 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(/.f64 (.f64 i i) (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64)))
✓	98.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
✓	49.2%	(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
✓	51.5%	#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)))
✓	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	48.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 452 to 164 computations (63.7% saved)

regimes8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

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
98.9%	1	`i`
98.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes7.0ms (0.1%)

Memory

-23.0MiB live, 15.8MiB allocated

Counts

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

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

2.0ms

(/.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`
79.5%	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%)

Memory

6.8MiB live, 6.8MiB 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 i #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 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.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)))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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 i #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 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 #s(approx (/ -1/4 (+ ( -4 (* i i)) 1)) (-.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 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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 i #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 #s(literal -1/4 binary64)) i))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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
51.6%	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)))`
51.6%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6080402.908393382	4056964115432.4307

Samples

1.0ms

16×

valid

Compiler

Compiled 65 to 34 computations (47.7% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

-10.9MiB live, 27.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9042167635976093e-5	0.8997889846633325

Samples

8.0ms

128×

valid

Compiler

Compiled 572 to 286 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (58% of total)

ival-sub: 1.0ms (19.3% of total)

ival-div: 1.0ms (19.3% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9042167635976093e-5	0.8997889846633325

Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9042167635976093e-5	0.8997889846633325

Compiler

Compiled 492 to 238 computations (51.6% 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	1.9042167635976093e-5	0.8997889846633325

Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify58.0ms (0.8%)

Memory

-4.1MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	52	353
1	98	333
2	280	293
3	1222	273
4	2711	263
5	4992	253
6	7662	253

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 10000000 binary64)) (/.f64 (.f64 i i) (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(pow.f64 #s(approx (/ (* (+ (* 4 (* i i)) -1) 4) (* i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(if (<=.f64 i #s(literal 10000000 binary64)) (/.f64 (.f64 i i) (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i #s(literal -1/4 binary64)) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.2s (17.4%)

Memory

20.9MiB live, 733.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
0	17	43
1	75	37
2	653	25
0	8772	24
0	65	274
1	137	274
2	370	263
3	1152	255
4	2576	255
5	5207	255
0	8156	245
0	47	111
1	89	111
2	199	110
3	447	106
4	913	106
5	1673	106
6	2908	106
7	5529	106
8	6611	106
0	8173	103
0	30	193
0	42	169
1	173	157
2	1351	141
0	9582	139
0	28	121
0	39	114
1	188	110
2	1441	92
0	8902	91

Stop Event

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

Compiler

Compiled 533 to 158 computations (70.4% saved)

preprocess38.0ms (0.5%)

Memory: -1.1MiB live, 76.1MiB allocated
Remove: (abs i)
Compiler: Compiled 920 to 208 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.4s (19.9%)

explain237.0ms (3.4%)

preprocess311.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify179.0ms (2.6%)

localize41.0ms (0.6%)

series5.0ms (0.1%)

simplify147.0ms (2.1%)

rewrite180.0ms (2.6%)

eval76.0ms (1.1%)

prune33.0ms (0.5%)

simplify238.0ms (3.4%)

localize73.0ms (1%)

series7.0ms (0.1%)

simplify242.0ms (3.5%)

rewrite343.0ms (4.9%)

eval344.0ms (4.9%)

prune54.0ms (0.8%)

simplify173.0ms (2.5%)

localize80.0ms (1.2%)

series6.0ms (0.1%)

simplify246.0ms (3.5%)

rewrite387.0ms (5.5%)

eval267.0ms (3.8%)

prune33.0ms (0.5%)

simplify106.0ms (1.5%)

localize37.0ms (0.5%)

series3.0ms (0%)

simplify132.0ms (1.9%)

rewrite192.0ms (2.7%)

eval47.0ms (0.7%)

prune11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify58.0ms (0.8%)

soundness1.2s (17.4%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling