Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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)

sample1.2s (20.3%)

Memory

9.6MiB live, 1 163.1MiB allocated

Samples

881.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 678.0ms

ival-mult: 258.0ms (38% of total)

ival-div: 221.0ms (32.6% of total)

ival->: 142.0ms (20.9% of total)

ival-sub: 38.0ms (5.6% of total)

exact: 14.0ms (2.1% of total)

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

Bogosity

explain210.0ms (3.6%)

Memory

3.3MiB live, 364.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	100
↳	`(*.f64 i i)`	overflow	134
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.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	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	100
↳	`(*.f64 i i)`	overflow	134
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	57	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	114
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	57
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	114
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	100
↳	`(*.f64 i i)`	overflow	134

Confusion

	Predicted +	Predicted -
+	190	0
-	0	66

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	190	0	0
-	0	0	66

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	66
1	123
2	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 245 to 44 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 43.0ms (81.8% of total)

ival-div: 6.0ms (11.4% of total)

ival-sub: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess205.0ms (3.5%)

Memory

-18.7MiB live, 152.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs
(.f64 (/.f64 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.3%	(/.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

▶

27.3%

(/.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)

simplify228.0ms (3.9%)

Memory

12.3MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.7%)

Memory

-1.3MiB live, 47.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.11166000976844201	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.232124403363965	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy	42.74102330204889	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

95.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 68.0ms (76.7% of total)

ival-sub: 17.0ms (19.2% of total)

ival-div: 3.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1.1%)

Memory

-24.0MiB live, 13.1MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (.f64 i i) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

simplify332.0ms (5.6%)

Memory

29.5MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1042	396
5	2094	396
6	4008	396
7	6185	396
0	8147	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite179.0ms (3%)

Memory

8.1MiB live, 113.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Counts

6 → 665

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval286.0ms (4.8%)

Memory: -1.5MiB live, 236.6MiB allocated
Compiler: Compiled 21 472 to 1 930 computations (91% saved)

prune188.0ms (3.2%)

Memory

-181.7MiB live, 90.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	851	5	856
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	852	5	857

Accuracy

100.0%

Counts

857 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	74.4%	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	49.3%	#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 234 to 120 computations (48.7% saved)

simplify255.0ms (4.3%)

Memory

-16.6MiB live, 210.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
cost-diff	320	(.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) i)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) i)
cost-diff	320	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
cost-diff	704	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	196
0	42	183
1	112	169
2	394	153
3	1661	148
4	3997	148
5	6704	148
0	8133	141

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

18.4MiB live, 135.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
accuracy	16.232124403363965	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.3973267202347888	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	30.93957149723932	#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	(*.f64 i i)
accuracy	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	32.4707807820222	#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	30.9655144675506	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0	(*.f64 #s(literal 1/2 binary64) i)
accuracy	0.0859375	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	15.719578207395998	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 384 to 60 computations (84.4% saved)

Precisions

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

ival-mult: 14.0ms (50.3% of total)

ival-div: 9.0ms (32.3% of total)

ival-add: 2.0ms (7.2% of total)

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

exact: 1.0ms (3.6% of total)

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

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

series17.0ms (0.3%)

Memory

-6.1MiB live, 30.0MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal -1/4 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify213.0ms (3.6%)

Memory

29.0MiB live, 222.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1223
1	152	1223
2	350	1218
3	804	1180
4	1758	1180
5	3241	1180
6	5850	1180
0	8030	1135

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

rewrite467.0ms (7.9%)

Memory

3.9MiB live, 285.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	167
0	42	148
1	205	134
2	1656	110
0	8616	107

Stop Event

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

Counts

14 → 773

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval232.0ms (3.9%)

Memory: -33.5MiB live, 378.4MiB allocated
Compiler: Compiled 28 186 to 2 451 computations (91.3% saved)

prune76.0ms (1.3%)

Memory

8.9MiB live, 92.9MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 175	2	1 177
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 177	5	1 182

Accuracy

100.0%

Counts

1 182 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
▶	49.1%	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	49.3%	#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 120 to 63 computations (47.5% saved)

simplify149.0ms (2.5%)

Memory

-1.3MiB live, 76.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	27	65
1	49	65
2	91	61
3	145	61
4	197	57
5	303	57
6	557	57
7	1703	57
8	3265	57
9	4387	57
10	6109	57
11	6944	57
12	7371	57
13	7772	57
0	8010	55

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (2%)

Memory

-11.2MiB live, 66.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
accuracy	0	(*.f64 i i)
accuracy	16.232124403363965	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) i)
accuracy	0	(*.f64 #s(literal 1/2 binary64) i)
accuracy	0.0859375	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)))
accuracy	32.238960843129874	#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))

Samples

36.0ms

256×

valid

Compiler

Compiled 126 to 41 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.6% of total)

ival-div: 6.0ms (35.6% of total)

ival-add: 2.0ms (11.9% of total)

exact: 1.0ms (5.9% of total)

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

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

series7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (*.f64 i i) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf i) (#s(alt #<batchref> (patch (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify176.0ms (3%)

Memory

-4.6MiB live, 116.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	542
1	138	542
2	313	540
3	733	514
4	1640	514
5	2838	514
6	5586	514
0	8228	490

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite190.0ms (3.2%)

Memory

4.3MiB live, 173.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
0	27	59
1	103	59
2	673	55
3	6626	55
0	8129	53

Stop Event

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

Counts

7 → 290

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval48.0ms (0.8%)

Memory: 12.0MiB live, 85.6MiB allocated
Compiler: Compiled 8 295 to 852 computations (89.7% saved)

prune10.0ms (0.2%)

Memory

1.2MiB live, 38.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	402	5	407

Accuracy

100.0%

Counts

407 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
✓	49.1%	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (/.f64 #s(literal -2 binary64) i)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	49.3%	#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 291 to 115 computations (60.5% saved)

regimes12.0ms (0.2%)

Memory

-24.7MiB live, 19.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

8.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`
78.4%	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

7.1MiB live, 7.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB 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)

bsearch3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	52527.71712758647	217823579055.10825

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)

bsearch22.0ms (0.4%)

Memory

-24.8MiB live, 49.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.609157826430622e-9	55.84068167719551

Samples

10.0ms

160×

valid

Compiler

Compiled 668 to 334 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (61.3% of total)

ival-div: 2.0ms (30.7% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.609157826430622e-9	55.84068167719551

Compiler

Compiled 608 to 294 computations (51.6% saved)

simplify29.0ms (0.5%)

Memory

1.9MiB live, 85.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	198
1	36	198

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #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 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #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 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(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))

soundness769.0ms (13%)

Memory

-5.7MiB live, 388.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30
0	50	401
1	96	401
2	220	400
3	504	396
4	1042	396
5	2094	396
6	4008	396
7	6185	396
0	8147	384
0	30	167
0	42	148
1	205	134
2	1656	110
0	8616	107

Stop Event

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

Compiler

Compiled 265 to 72 computations (72.8% saved)

preprocess46.0ms (0.8%)

Memory: 14.6MiB live, 52.0MiB allocated
Remove: (abs i)
Compiler: Compiled 528 to 122 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.2s (20.3%)

explain210.0ms (3.6%)

preprocess205.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify228.0ms (3.9%)

localize103.0ms (1.7%)

series63.0ms (1.1%)

simplify332.0ms (5.6%)

rewrite179.0ms (3%)

eval286.0ms (4.8%)

prune188.0ms (3.2%)

simplify255.0ms (4.3%)

localize66.0ms (1.1%)

series17.0ms (0.3%)

simplify213.0ms (3.6%)

rewrite467.0ms (7.9%)

eval232.0ms (3.9%)

prune76.0ms (1.3%)

simplify149.0ms (2.5%)

localize118.0ms (2%)

series7.0ms (0.1%)

simplify176.0ms (3%)

rewrite190.0ms (3.2%)

eval48.0ms (0.8%)

prune10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch22.0ms (0.4%)

bsearch2.0ms (0%)

simplify29.0ms (0.5%)

soundness769.0ms (13%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling