Metrics for Octave 3.8, jcobi/4, as called

analyze6.0ms (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: 3.0ms

ival-mult: 3.0ms (86.7% 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)

sample1.1s (16.2%)

Results

867.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult: 296.0ms (53.7% of total)

ival-div: 131.0ms (23.8% of total)

ival-sub: 72.0ms (13.1% of total)

ival->: 34.0ms (6.2% of total)

const: 15.0ms (2.7% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess358.0ms (5.3%)

Algorithm

2×	egg-herbie

Rules

3764×	`-lowering-.f32`
3764×	`-lowering-.f64`
1980×	`fma-lowering-fma.f32`
1980×	`fma-lowering-fma.f64`
1450×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	85	43
2	529	33
3	3116	30
4	6245	30
0	10	15
1	37	14
2	153	11
3	668	10
4	2367	10
5	3008	10
6	3966	10
7	5860	10
0	8019	10

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

Symmetry

(abs i)

explain170.0ms (2.5%)

FPErrors

Click to see full error table

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

Results

79.0ms

512×

valid

Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 29.0ms (71.7% of total)

ival-div: 8.0ms (19.8% of total)

ival-sub: 3.0ms (7.4% of total)

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(/.f64 (.f64 i i) (+.f64 (.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64)))

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
16×	`fma-define`
14×	`fma-lowering-fma.f32`
14×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	20	26
2	33	26
3	43	26
4	44	26
0	44	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* i i) (+ (* (* (* i i) 4) 4) -4))
(* i i)
i
(+ (* (* (* i i) 4) 4) -4)
(* (* (* i i) 4) 4)
(* (* i i) 4)
4
-4

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

localize117.0ms (1.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 4 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64))
✓	accuracy	76.1%	(/.f64 (.f64 i i) (+.f64 (.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64)))

Results

58.0ms

256×

valid

Compiler

Compiled 42 to 9 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (55.8% of total)

ival-div: 2.0ms (22.3% of total)

ival-add: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<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 (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 (* 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))>

Calls

15 calls:

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

rewrite362.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`-lowering-.f32`
1888×	`-lowering-.f64`
1676×	`fnmadd-define`
1340×	`/-lowering-/.f32`
1340×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	30	23
2	95	23
3	367	23
4	1502	23
5	5042	23
0	8235	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 314

Calls

Call 1

Inputs
(* (* (* i i) 4) 4)
(/ (* i i) (+ (* (* (* i i) 4) 4) -4))
(* i i)
(+ (* (* (* i i) 4) 4) -4)
(* (* i i) 4)

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

simplify378.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

2370×	`fma-lowering-fma.f32`
2370×	`fma-lowering-fma.f64`
1712×	`-lowering-.f32`
1712×	`-lowering-.f64`
1676×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	351
1	118	281
2	288	281
3	727	281
4	1721	281
5	3607	281
6	7663	281
0	8235	281

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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))))))
(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)))))
(* 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))

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

eval44.0ms (0.6%)

Compiler: Compiled 7424 to 1045 computations (85.9% saved)

prune64.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	428	5	433

Accuracy

100.0%

Counts

433 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 i (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i))
▶	38.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) i) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))))
▶	53.8%	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
▶	53.6%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
▶	47.5%	#s(literal 1/16 binary64)

Compiler

Compiled 108 to 66 computations (38.9% saved)

simplify246.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) i) i)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (.f64 i i)))
✓	cost-diff	256	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))
✓	cost-diff	512	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) i) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))))
✓	cost-diff	0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
✓	cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 (.f64 i i) #s(literal -16 binary64))
✓	cost-diff	0	(-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))
✓	cost-diff	0	(/.f64 i (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i)

Rules

3194×	`-lowering-.f32`
3194×	`-lowering-.f64`
2038×	`distribute-lft-neg-out`
1684×	`/-lowering-/.f32`
1684×	`/-lowering-/.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	116
1	68	110
2	175	106
3	566	102
4	2138	102
5	4832	101
0	9624	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ i (/ (- -4 (* (* i i) -16)) i))
i
(/ (- -4 (* (* i i) -16)) i)
(- -4 (* (* i i) -16))
-4
(* (* i i) -16)
(* i i)
-16
1/16
(* i (* i -1/4))
i
(* i -1/4)
-1/4
(* (* i i) (- -1/4 (* i i)))
(* i i)
i
(- -1/4 (* i i))
-1/4
(* (/ (/ 1 i) i) (/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i))))
(/ (/ 1 i) i)
(/ 1 i)
1
i
(/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i)))
(- 0 (* i i))
0
(* i i)
(/ (+ 4 (* (* i i) -16)) (* i i))
(+ 4 (* (* i i) -16))
4
(* (* i i) -16)
-16

Outputs
(/ i (/ (- -4 (* (* i i) -16)) i))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -16 binary64)))
i
(/ (- -4 (* (* i i) -16)) i)
(+.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal 16 binary64)))
(- -4 (* (* i i) -16))
(+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))
-4
#s(literal -4 binary64)
(* (* i i) -16)
(.f64 (.f64 i i) #s(literal -16 binary64))
(* i i)
(*.f64 i i)
-16
#s(literal -16 binary64)
1/16
#s(literal 1/16 binary64)
(* i (* i -1/4))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
i
(* i -1/4)
(*.f64 i #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (* i i) (- -1/4 (* i i)))
(.f64 (.f64 i 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)
(* (/ (/ 1 i) i) (/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -16 binary64)))
(/ (/ 1 i) i)
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
1
#s(literal 1 binary64)
i
(/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i)))
(/.f64 (*.f64 i i) (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -16 binary64)))
(- 0 (* i i))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
0
#s(literal 0 binary64)
(* i i)
(*.f64 i i)
(/ (+ 4 (* (* i i) -16)) (* i i))
(-.f64 #s(literal -16 binary64) (/.f64 (/.f64 #s(literal -4 binary64) i) i))
(+ 4 (* (* i i) -16))
(+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* i i) -16)
(.f64 (.f64 i i) #s(literal -16 binary64))
-16
#s(literal -16 binary64)

localize152.0ms (2.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (.f64 i i)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) i) i)
✓	accuracy	75.5%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))
✓	accuracy	39.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) i) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))))
✓	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 i (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal -16 binary64))
✓	accuracy	99.9%	(/.f64 i (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i))
✓	accuracy	77.1%	(/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i)

Results

107.0ms

256×

valid

Compiler

Compiled 154 to 25 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (41.2% of total)

ival-div: 10.0ms (31.7% of total)

ival-sub: 6.0ms (19% of total)

ival-add: 1.0ms (3.2% of total)

const: 1.0ms (3.2% of total)

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

series7.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ (- -4 (* (* i i) -16)) i)>
#<alt (/ i (/ (- -4 (* (* i i) -16)) i))>
#<alt (- -4 (* (* i i) -16))>
#<alt (* (* i i) -16)>
#<alt (* i (* i -1/4))>
#<alt (* i -1/4)>
#<alt (* (* i i) (- -1/4 (* i i)))>
#<alt (* i i)>
#<alt (- -1/4 (* i i))>
#<alt (* (/ (/ 1 i) i) (/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i))))>
#<alt (/ (+ 4 (* (* i i) -16)) (* i i))>
#<alt (/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i)))>
#<alt (/ (/ 1 i) i)>

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

Calls

39 calls:

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

rewrite310.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2418×	`-lowering-.f32`
2418×	`-lowering-.f64`
1516×	`fma-lowering-fma.f32`
1516×	`fma-lowering-fma.f64`
1416×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	84
1	108	79
2	672	69
3	4028	67
0	8133	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1213

Calls

Call 1

Inputs
(/ (- -4 (* (* i i) -16)) i)
(/ i (/ (- -4 (* (* i i) -16)) i))
(- -4 (* (* i i) -16))
(* (* i i) -16)
(* i (* i -1/4))
(* i -1/4)
(* (* i i) (- -1/4 (* i i)))
(* i i)
(- -1/4 (* i i))
(* (/ (/ 1 i) i) (/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i))))
(/ (+ 4 (* (* i i) -16)) (* i i))
(/ (- 0 (* i i)) (/ (+ 4 (* (* i i) -16)) (* i i)))
(/ (/ 1 i) i)

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

simplify189.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2222×	`-lowering-.f32`
2222×	`-lowering-.f64`
1568×	`fma-lowering-fma.f32`
1568×	`fma-lowering-fma.f64`
1532×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1068
1	206	875
2	609	857
3	2190	840
4	5315	840
0	8221	840

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval304.0ms (4.5%)

Compiler: Compiled 32972 to 2977 computations (91% saved)

prune207.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1668	4	1672
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1671	6	1677

Accuracy

100.0%

Counts

1677 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.9%	(/.f64 (/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) (*.f64 i i))
▶	53.5%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
▶	99.9%	(/.f64 i (-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64))))
▶	52.8%	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
✓	53.6%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	47.5%	#s(literal 1/16 binary64)

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify206.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) (*.f64 i i))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) i)
✓	cost-diff	0	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	cost-diff	0	(*.f64 i #s(literal -16 binary64))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) i)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64)))
✓	cost-diff	0	(/.f64 i (-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64))))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 i i))
✓	cost-diff	128	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))

Rules

2230×	`/-lowering-/.f32`
2230×	`/-lowering-/.f64`
1990×	`fnmadd-define`
1766×	`-lowering-.f32`
1766×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	42	79
2	86	76
3	164	76
4	286	74
5	523	74
6	1289	74
7	4206	74
0	8015	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize128.0ms (1.9%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.9%	(/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	accuracy	40.1%	(/.f64 (/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) (*.f64 i i))
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) i)
✓	accuracy	99.9%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) i)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -16 binary64))
✓	accuracy	99.9%	(/.f64 i (-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64))))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 i i))
✓	accuracy	99.1%	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))

Results

104.0ms

256×

valid

Compiler

Compiled 99 to 19 computations (80.8% saved)

Precisions

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

ival-div: 13.0ms (56.4% of total)

ival-mult: 6.0ms (26% of total)

ival-sub: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

const: 1.0ms (4.3% of total)

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

series7.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite185.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`-lowering-.f32`
1804×	`-lowering-.f64`
1542×	`/-lowering-/.f32`
1542×	`/-lowering-/.f64`
858×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	92	63
2	487	58
3	3361	58
0	8613	58

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 785

Calls

Call 1

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

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

simplify230.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1844×	`-lowering-.f32`
1844×	`-lowering-.f64`
1828×	`fma-lowering-fma.f32`
1828×	`fma-lowering-fma.f64`
1536×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	936
1	173	775
2	462	739
3	1404	728
4	3436	728
5	6692	728
0	8118	728

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval139.0ms (2.1%)

Compiler: Compiled 18272 to 2223 computations (87.8% saved)

prune95.0ms (1.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1106	0	1106
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	1106	6	1112

Accuracy

100.0%

Counts

1112 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.9%	(/.f64 (/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) (*.f64 i i))
✓	53.5%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	99.9%	(/.f64 i (-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64))))
✓	52.8%	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
✓	53.6%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	47.5%	#s(literal 1/16 binary64)

Compiler

Compiled 172 to 78 computations (54.7% saved)

regimes9.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 i (-.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64))))
(/.f64 i (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i))
(/.f64 (.f64 i i) (+.f64 (.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64)))
(/.f64 (/.f64 (.f64 i i) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) (*.f64 i i))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) i) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i))))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

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

Calls

2 calls:

5.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
99.9%	1	`i`
99.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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:

1.0ms

Results

Accuracy	Segments	Branch
47.5%	1	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.02706781788494566	1491560743.623577

Results

12.0ms

160×

valid

Compiler

Compiled 170 to 103 computations (39.4% saved)

Precisions

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

ival-mult: 4.0ms (56.3% of total)

ival-div: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.02706781788494566	1491560743.623577

Results

14.0ms

160×

valid

Compiler

Compiled 130 to 93 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (66.1% of total)

ival-div: 2.0ms (22% of total)

ival-sub: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34
1	31	34
2	47	34
3	55	34
4	60	34
5	61	34

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (22.7%)

Rules

3764×	`-lowering-.f32`
3764×	`-lowering-.f64`
2418×	`-lowering-.f32`
2418×	`-lowering-.f64`
2370×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	37	14
2	153	11
3	668	10
4	2367	10
5	3008	10
6	3966	10
7	5860	10
0	8019	10
0	51	351
1	118	281
2	288	281
3	727	281
4	1721	281
5	3607	281
6	7663	281
0	8235	281
0	8	25
1	30	23
2	95	23
3	367	23
4	1502	23
5	5042	23
0	8235	23
0	23	84
1	108	79
2	672	69
3	4028	67
0	8133	67

Stop Event

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

Compiler

Compiled 85 to 54 computations (36.5% saved)

preprocess150.0ms (2.2%)

Remove: (abs i)
Compiler: Compiled 142 to 70 computations (50.7% saved)

Octave 3.8, jcobi/4, as called

analyze6.0ms (0.1%)

sample1.1s (16.2%)

preprocess358.0ms (5.3%)

explain170.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize117.0ms (1.7%)

series3.0ms (0.1%)

rewrite362.0ms (5.4%)

simplify378.0ms (5.6%)

eval44.0ms (0.6%)

prune64.0ms (0.9%)

simplify246.0ms (3.6%)

localize152.0ms (2.2%)

series7.0ms (0.1%)

rewrite310.0ms (4.6%)

simplify189.0ms (2.8%)

eval304.0ms (4.5%)

prune207.0ms (3.1%)

simplify206.0ms (3.1%)

localize128.0ms (1.9%)

series7.0ms (0.1%)

rewrite185.0ms (2.7%)

simplify230.0ms (3.4%)

eval139.0ms (2.1%)

prune95.0ms (1.4%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch21.0ms (0.3%)

bsearch21.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.5s (22.7%)

preprocess150.0ms (2.2%)

end0.0ms (0%)

Profiling