Metrics for Octave 3.8, jcobi/4, as called

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

Precisions

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

ival-mult: 1.0ms (55.5% 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 (26.4%)

Results

893.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-mult: 311.0ms (53.1% of total)

ival-div: 175.0ms (29.9% of total)

ival-sub: 43.0ms (7.3% of total)

ival->: 38.0ms (6.5% of total)

const: 15.0ms (2.6% of total)

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

Bogosity

preprocess318.0ms (7.5%)

Algorithm

2×	egg-herbie

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
1670×	`associate-/r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	94	40
2	593	30
3	4473	30
0	10	15
1	43	13
2	197	10
3	1091	10
4	3705	9
5	5776	9
0	8216	9

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 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))

Call 2

Inputs

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

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

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

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

explain114.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
190	-	1	(2.6122884335083738e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
51	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`#s(literal 1 binary64)`

Results

70.0ms

512×

valid

Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 15.0ms (57.7% of total)

ival-div: 7.0ms (26.9% of total)

ival-sub: 3.0ms (11.5% of total)

const: 1.0ms (3.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.1%	(/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

18×	`-lowering-.f32`
18×	`-lowering-.f64`
8×	`*-commutative`
8×	`fma-lowering-fma.f32`
8×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	15	22
2	21	22
3	22	22
0	22	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 16 binary64))
✓	accuracy	80.7%	(/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))

Results

27.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51% of total)

ival-div: 2.0ms (25.5% of total)

ival-add: 1.0ms (12.8% of total)

const: 1.0ms (12.8% of total)

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

series3.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite495.0ms (11.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3326×	`/-lowering-/.f32`
3326×	`/-lowering-/.f64`
3164×	`-lowering-.f32`
3164×	`-lowering-.f64`
2290×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	39	19
2	257	19
3	2439	19
0	8815	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 332

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 (.f64 i i) #s(literal 16 binary64))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(+.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) (.f64 (log.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 i))))
(exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 i)))))
(-.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 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i i))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i i))) (/.f64 (/.f64 (.f64 (.f64 i i) #s(literal -64 binary64)) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i i))))
(fma.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))))
(fma.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(fma.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(fma.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (*.f64 i i) #s(literal 64 binary64)))))
(fma.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64)))))
(fma.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (.f64 (.f64 i i) #s(literal 16 binary64)) (.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(neg.f64 (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))
(/.f64 i (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i))
(/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) i) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(/.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(/.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 i (.f64 i (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))) #s(literal 16 binary64)))) (+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal -256 binary64) (.f64 i (.f64 i (.f64 i i))))))) (neg.f64 (neg.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))) (neg.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))) (neg.f64 (+.f64 (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 256 binary64) (.f64 #s(literal 4096 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))))))
(pow.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal -256 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
(.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64))))
(.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal -256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))))))) (+.f64 (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (-.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (-.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))))) (-.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (*.f64 i i) #s(literal -64 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 #s(literal -256 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 256 binary64) (.f64 #s(literal 4096 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 68719476736 binary64))) #s(literal -262144 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 262144 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 i i) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))
(.f64 i (.f64 i #s(literal 16 binary64)))
(.f64 i (pow.f64 (.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)))
(.f64 i (exp.f64 (log.f64 (.f64 i #s(literal 16 binary64)))))
(.f64 (.f64 i i) #s(literal 16 binary64))
(.f64 (.f64 i i) (exp.f64 (log.f64 #s(literal 16 binary64))))
(.f64 #s(literal 16 binary64) (.f64 i i))
(.f64 (.f64 i #s(literal 16 binary64)) i)
(.f64 (pow.f64 (.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)) i)
(.f64 (exp.f64 (log.f64 (.f64 i #s(literal 16 binary64)))) i)
(.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) (.f64 i i))

simplify221.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

2386×	`fma-lowering-fma.f32`
2386×	`fma-lowering-fma.f64`
1710×	`-lowering-.f32`
1710×	`-lowering-.f64`
1692×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	291
1	116	233
2	282	233
3	722	233
4	1731	233
5	3656	233
6	7789	233
0	8370	233

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval49.0ms (1.1%)

Compiler: Compiled 13223 to 1153 computations (91.3% saved)

prune47.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	413	4	417
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	5	418

Accuracy

100.0%

Counts

418 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
▶	49.6%	(/.f64 (*.f64 i i) #s(literal -4 binary64))
▶	51.1%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	49.6%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	51.5%	#s(literal 1/16 binary64)

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify124.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1226×	`sum3-define`
1072×	`sum5-define`
990×	`fma-define`
980×	`fnmadd-define`
808×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	26	45
2	48	45
3	103	45
4	176	45
5	270	45
6	406	45
7	658	45
8	2366	45
9	2757	45
10	3203	45
11	3595	45
12	3639	45
13	3766	45
14	4050	45
15	4272	45
16	4392	45
17	4466	45
18	4516	45
19	4540	45
0	4540	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize132.0ms (3.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.7%	(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.3%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.9%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	99.9%	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))

Results

96.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (39.9% of total)

ival-div: 4.0ms (31.9% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 1.0ms (8% of total)

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

series21.0ms (0.5%)

Counts

7 → 84

Calls

Call 1

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

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (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 (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -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))>

Calls

21 calls:

Time	Variable		Point	Expression
17.0ms	i	@	0	(+ 1/16 (/ 1/64 (* i i)))
1.0ms	i	@	-inf	(+ 1/16 (/ 1/64 (* i i)))
0.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	0	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	inf	(/ (* i i) -4)

rewrite443.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
2282×	`/-lowering-/.f32`
2282×	`/-lowering-/.f64`
1830×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	70	33
2	493	33
3	5170	33
0	8354	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 272

Calls

Call 1

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

Outputs
(+.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(-.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (.f64 i (.f64 i (*.f64 i i))))
(fma.f64 i (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 i i) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (.f64 i i) #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 (-.f64 #s(literal 0 binary64) i) (.f64 i #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (/.f64 i #s(literal -4 binary64)) i (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 i i) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i))) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 (.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 (.f64 i i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))))) (.f64 (.f64 i i) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 i (.f64 i (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))))))
(/.f64 (.f64 i (.f64 i (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))
(/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (.f64 i (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))))
(/.f64 (neg.f64 (.f64 i (.f64 i (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) #s(literal -64 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))
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(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
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(*.f64 (/.f64 i #s(literal -4 binary64)) i)
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simplify125.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2192×	`-lowering-.f32`
2192×	`-lowering-.f64`
1386×	`fma-define`
1182×	`times-frac`
938×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	487
1	95	369
2	317	369
3	1153	369
4	3527	369
0	8589	369

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval46.0ms (1.1%)

Compiler: Compiled 7784 to 894 computations (88.5% saved)

prune55.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	416	0	416
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	416	5	421

Accuracy

100.0%

Counts

421 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
✓	49.6%	(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓	51.1%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	49.6%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	51.5%	#s(literal 1/16 binary64)

Compiler

Compiled 97 to 49 computations (49.5% saved)

regimes18.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`
80.1%	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 (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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
51.5%	1	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	129242.21074372946	447519257791.38544

Results

1.0ms

16×

valid

Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.631770168321134e-8	5.535356014899063

Results

18.0ms

144×

valid

Compiler

Compiled 210 to 139 computations (33.8% saved)

Precisions

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

ival-mult: 4.0ms (62.8% of total)

ival-div: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.631770168321134e-8	5.535356014899063

Results

25.0ms

144×

valid

Compiler

Compiled 174 to 121 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 14.0ms (70% of total)

ival-mult: 4.0ms (20% of total)

ival-div: 2.0ms (10% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	6.631770168321134e-8	5.535356014899063

Results

26.0ms

144×

valid

Compiler

Compiled 120 to 85 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 17.0ms (79.6% of total)

ival-mult: 4.0ms (18.7% of total)

ival-sub: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	34	63
2	42	63
3	46	63
4	48	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 200000 binary64)) (/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i i) #s(literal -4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (/.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 i #s(literal 200000 binary64)) (/.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i i) #s(literal -4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (/.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness730.0ms (17.2%)

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
2386×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	43	13
2	197	10
3	1091	10
4	3705	9
5	5776	9
0	8216	9
0	50	291
1	116	233
2	282	233
3	722	233
4	1731	233
5	3656	233
6	7789	233
0	8370	233

Stop Event

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

Compiler

Compiled 117 to 65 computations (44.4% saved)

preprocess34.0ms (0.8%)

Remove: (abs i)
Compiler: Compiled 214 to 90 computations (57.9% saved)

Octave 3.8, jcobi/4, as called

analyze4.0ms (0.1%)

sample1.1s (26.4%)

preprocess318.0ms (7.5%)

explain114.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize36.0ms (0.9%)

series3.0ms (0.1%)

rewrite495.0ms (11.6%)

simplify221.0ms (5.2%)

eval49.0ms (1.1%)

prune47.0ms (1.1%)

simplify124.0ms (2.9%)

localize132.0ms (3.1%)

series21.0ms (0.5%)

rewrite443.0ms (10.4%)

simplify125.0ms (2.9%)

eval46.0ms (1.1%)

prune55.0ms (1.3%)

regimes18.0ms (0.4%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch2.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch31.0ms (0.7%)

bsearch32.0ms (0.8%)

simplify9.0ms (0.2%)

soundness730.0ms (17.2%)

preprocess34.0ms (0.8%)

end0.0ms (0%)

Profiling