Metrics for Octave 3.8, jcobi/4, as called

analyze4.0ms (0.1%)

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 12 computations (58.6% saved)

Precisions

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

ival-mult: 1.0ms (52.6% of total)

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample980.0ms (21.3%)

Results

726.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult: 296.0ms (57.6% of total)

ival-div: 106.0ms (20.6% of total)

ival->: 48.0ms (9.3% of total)

ival-sub: 46.0ms (9% of total)

const: 14.0ms (2.7% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess266.0ms (5.8%)

Algorithm

2×	egg-herbie

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
1672×	`associate-/r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	88	55
2	588	36
3	4412	36
0	10	21
1	40	18
2	193	12
3	1086	12
4	3760	11
5	5812	11
0	8252	11

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* i (* i (/ 1/4 (fnmsub i (* i -4) 1))))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(* i (* i (/ 1/4 (fnmsub i (* i -4) 1))))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
(* i (* i (/ 1/4 (fnmsub i (* i 4) -1))))

Symmetry

(abs i)

explain122.0ms (2.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	2	(4.2100689491505573e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
79	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`#s(literal 1 binary64)`

Results

80.0ms

512×

valid

Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 15.0ms (60.3% of total)

ival-div: 6.0ms (24.1% of total)

ival-sub: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	70.0%	(.f64 i (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))

Status

Accuracy

Program

▶

25.5%

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

▶

70.0%

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

Compiler

Compiled 38 to 18 computations (52.6% saved)

simplify258.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	640	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
✓	cost-diff	896	(/.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	0	(.f64 (.f64 i i) #s(literal 16 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
✓	cost-diff	0	(/.f64 i (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
✓	cost-diff	0	(.f64 i (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))

Rules

4816×	`-lowering-.f32`
4816×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
1670×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	53	81
2	212	73
3	1105	73
4	3737	73
5	5800	73
0	8234	73

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize77.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	70.1%	(/.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)))
✓	accuracy	32.3%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 16 binary64))
✓	accuracy	99.9%	(.f64 i (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
✓	accuracy	71.3%	(/.f64 i (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))

Results

47.0ms

256×

valid

Compiler

Compiled 112 to 17 computations (84.8% saved)

Precisions

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

ival-mult: 22.0ms (72.6% of total)

ival-div: 5.0ms (16.5% of total)

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

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

const: 1.0ms (3.3% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (* i (/ i (+ (* (* i i) 16) -4)))>
#<alt (/ i (+ (* (* i i) 16) -4))>
#<alt (+ (* (* i i) 16) -4)>
#<alt (* (* i i) 16)>
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))>
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))>
#<alt (* (* 2 i) (* 2 i))>
#<alt (- (* (* 2 i) (* 2 i)) 1)>
#<alt (* i i)>
#<alt (* (* i i) (* i i))>
#<alt (* 2 i)>

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

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	(* (* i i) 16)
1.0ms	i	@	inf	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	inf	(* i (/ i (+ (* (* i i) 16) -4)))
0.0ms	i	@	0	(* i (/ i (+ (* (* i i) 16) -4)))
0.0ms	i	@	inf	(* (* 2 i) (* 2 i))

rewrite364.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5958×	`-lowering-.f32`
5958×	`-lowering-.f64`
3702×	`/-lowering-/.f32`
3702×	`/-lowering-/.f64`
1090×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	103	74
2	912	66
0	8821	66

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 751

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 256 binary64))))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 256 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64))) (.f64 i (.f64 i #s(literal 16 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 256 binary64)))) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) #s(literal -1 binary64)))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 i (.f64 i #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (.f64 i (.f64 i #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 i (.f64 (.f64 i i) #s(literal 8 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 i (.f64 (.f64 i i) #s(literal 8 binary64))) #s(literal 1 binary64))) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 i #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64)))))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 16 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 i #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))
(.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 i #s(literal -2 binary64)))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 1 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(.f64 (.f64 i i) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(.f64 (pow.f64 (.f64 i i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i i) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) (.f64 #s(literal 2 binary64) (log.f64 i))))
(-.f64 #s(literal 0 binary64) (.f64 i (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))))
(neg.f64 (.f64 i (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))))
(.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1 binary64)))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (.f64 i (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i i)))))
(.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i i))) (*.f64 i i))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))) i)
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) i)
(.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify221.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2334×	`-lowering-.f32`
2334×	`-lowering-.f64`
2038×	`fma-lowering-fma.f32`
2038×	`fma-lowering-fma.f64`
1492×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	820
1	195	799
2	498	796
3	1330	782
4	3542	782
0	8278	782

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

eval182.0ms (3.9%)

Compiler: Compiled 26610 to 2439 computations (90.8% saved)

prune129.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1020	5	1025
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1022	5	1027

Accuracy

100.0%

Counts

1027 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(/.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))
▶	52.4%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	48.4%	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
▶	48.2%	(*.f64 i (/.f64 i #s(literal -4 binary64)))
▶	52.8%	#s(literal 1/16 binary64)

Compiler

Compiled 76 to 50 computations (34.2% saved)

simplify182.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	(*.f64 i i)
✓	cost-diff	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓	cost-diff	(*.f64 i i)
✓	cost-diff	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	cost-diff	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	cost-diff	(/.f64 i #s(literal -4 binary64))
✓	cost-diff	(*.f64 i (/.f64 i #s(literal -4 binary64)))
✓	cost-diff	(.f64 i (.f64 i #s(literal 16 binary64)))
✓	cost-diff	(+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
✓	cost-diff	(*.f64 i i)
✓	cost-diff	(/.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))

Rules

1676×	`sum3-define`
1636×	`fnmadd-define`
1546×	`fma-define`
1214×	`fmsub-define`
1168×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	37	78
2	64	76
3	117	76
4	187	76
5	281	76
6	417	76
7	684	76
8	2451	76
9	2852	76
10	3373	76
11	4044	76
12	4607	76
13	5437	76
14	5892	76
15	6220	76
16	6400	76
17	6537	76
18	6620	76
19	6644	76
0	6644	76

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (1.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.9%	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.3%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(/.f64 i #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 i (/.f64 i #s(literal -4 binary64)))
✓	accuracy	100.0%	(.f64 i (.f64 i #s(literal 16 binary64)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 i #s(literal 16 binary64))
✓	accuracy	70.1%	(/.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))

Results

44.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

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

ival-mult: 9.0ms (47.9% of total)

ival-div: 5.0ms (26.6% of total)

ival-add: 3.0ms (16% of total)

ival-sub: 1.0ms (5.3% of total)

const: 1.0ms (5.3% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ (* i i) (+ (* i (* i 16)) -4))>
#<alt (* i i)>
#<alt (+ (* i (* i 16)) -4)>
#<alt (* i (* i 16))>
#<alt (* i (/ i -4))>
#<alt (/ i -4)>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (* (* i i) (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
#<alt (* i 16)>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	i	@	-inf	(* i 16)
0.0ms	i	@	inf	(* (* i i) (- -1/4 (* i i)))
0.0ms	i	@	inf	(* i (/ i -4))
0.0ms	i	@	0	(/ 1/64 (* i i))
0.0ms	i	@	0	(* (* i i) (- -1/4 (* i i)))

rewrite336.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3952×	`-lowering-.f32`
3952×	`-lowering-.f64`
3242×	`/-lowering-/.f32`
3242×	`/-lowering-/.f64`
1154×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	100	60
2	718	58
3	7350	58
0	8051	58

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 375

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 i i) #s(literal 1/64 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 i (.f64 (.f64 i (*.f64 i i)) #s(literal 256 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 i (.f64 i #s(literal 16 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(+.f64 (.f64 (.f64 i (.f64 i #s(literal 16 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (.f64 i i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(neg.f64 (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (*.f64 i i))))
(/.f64 i (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
(/.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) i) i))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i)))
(/.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(/.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64))))
(/.f64 (.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))
(/.f64 (.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal 4 binary64))) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))
(/.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 16777216 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))))))) (+.f64 (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) #s(literal 65536 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (-.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64))) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64)))))))
(/.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (-.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) #s(literal 1/64 binary64)))))) (-.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 i i) #s(literal 1/64 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))
(/.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 i i) #s(literal -1/64 binary64)))))
(pow.f64 (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1 binary64))
(.f64 i (/.f64 i (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(.f64 (.f64 i i) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) i) (.f64 i (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))) (.f64 i i))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) i) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))))
(.f64 (/.f64 i (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))) i)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 i i)))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 i (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 i (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(.f64 (/.f64 i (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) i))
(.f64 (/.f64 i (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 i (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))))
(.f64 (/.f64 i (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal 4 binary64)) i))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) #s(literal -1 binary64)) (/.f64 i (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 i (.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64)))) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))) #s(literal -16 binary64)))) (+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 16 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 256 binary64))))) (-.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(/.f64 (*.f64 i i) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (neg.f64 (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))) (.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (+.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))) (.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))))) (+.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (.f64 i i) #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 1 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1/262144 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(.f64 (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64))))))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (neg.f64 (.f64 i (.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(.f64 (+.f64 #s(literal -1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i i) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (.f64 (.f64 i i) (.f64 (+.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) (-.f64 (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (+.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64)))))))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 (.f64 i i) #s(literal -1/4 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 i i) #s(literal -1/4 binary64)))))
(*.f64 i #s(literal 16 binary64))
(*.f64 #s(literal 16 binary64) i)

simplify186.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2200×	`fma-lowering-fma.f32`
2200×	`fma-lowering-fma.f64`
1902×	`-lowering-.f32`
1902×	`-lowering-.f64`
1882×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	731
1	158	684
2	444	684
3	1446	680
4	3579	680
5	7115	680
0	8311	680

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 i i) (-.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(.f64 i (.f64 i #s(literal 16 binary64)))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))

eval72.0ms (1.6%)

Compiler: Compiled 11595 to 1142 computations (90.2% saved)

prune54.0ms (1.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	591	0	591
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	591	5	596

Accuracy

100.0%

Counts

596 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.1%	(/.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))
✓	52.4%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	48.4%	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓	48.2%	(*.f64 i (/.f64 i #s(literal -4 binary64)))
✓	52.8%	#s(literal 1/16 binary64)

Compiler

Compiled 108 to 54 computations (50% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`i`
76.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
52.8%	1	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch4.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	25868.871360430694	17300060562.403927

Results

2.0ms

32×

valid

Compiler

Compiled 62 to 37 computations (40.3% saved)

Precisions

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

ival-mult: 1.0ms (66.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.238824016390162e-6	1.2489397903787827

Results

10.0ms

144×

valid

Compiler

Compiled 210 to 130 computations (38.1% saved)

Precisions

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

ival-mult: 4.0ms (60.9% of total)

ival-div: 2.0ms (30.4% of total)

ival-sub: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	4.238824016390162e-6	1.2489397903787827

Results

10.0ms

144×

valid

Compiler

Compiled 174 to 121 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (61.8% of total)

ival-div: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.238824016390162e-6	1.2489397903787827

Results

10.0ms

144×

valid

Compiler

Compiled 120 to 85 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (61.9% of total)

ival-div: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	36	63
2	44	63
3	48	63
4	50	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 40000000 binary64)) (.f64 i (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (/.f64 i #s(literal -4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 i #s(literal 40000000 binary64)) (.f64 i (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (/.f64 i #s(literal -4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness922.0ms (20%)

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
2334×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	820
1	195	799
2	498	796
3	1330	782
4	3542	782
0	8278	782
0	10	21
1	40	18
2	193	12
3	1086	12
4	3760	11
5	5812	11
0	8252	11

Stop Event

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

Compiler

Compiled 117 to 65 computations (44.4% saved)

preprocess47.0ms (1%)

Remove: (abs i)
Compiler: Compiled 214 to 94 computations (56.1% saved)

Octave 3.8, jcobi/4, as called

analyze4.0ms (0.1%)

sample980.0ms (21.3%)

preprocess266.0ms (5.8%)

explain122.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify258.0ms (5.6%)

localize77.0ms (1.7%)

series9.0ms (0.2%)

rewrite364.0ms (7.9%)

simplify221.0ms (4.8%)

eval182.0ms (3.9%)

prune129.0ms (2.8%)

simplify182.0ms (4%)

localize66.0ms (1.4%)

series6.0ms (0.1%)

rewrite336.0ms (7.3%)

simplify186.0ms (4%)

eval72.0ms (1.6%)

prune54.0ms (1.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch17.0ms (0.4%)

bsearch42.0ms (0.9%)

bsearch24.0ms (0.5%)

simplify8.0ms (0.2%)

soundness922.0ms (20%)

preprocess47.0ms (1%)

end0.0ms (0%)

Profiling