Metrics for Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 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)

sample541.0ms (8.4%)

Results

367.0ms	8198×	0	valid
2.0ms	30×	1	valid
3.0ms	28×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 112.0ms (62.6% of total)

ival-sub: 48.0ms (26.8% of total)

const: 15.0ms (8.4% of total)

backward-pass: 4.0ms (2.2% of total)

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

32×	`sub-neg`
28×	`distribute-lft-neg-in`
24×	`cancel-sign-sub-inv`
18×	`neg-mul-1`
16×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)

Outputs
(- (* x 116) 16)
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))

Call 2

Inputs
(- (* x 116) 16)
(- (* (neg x) 116) 16)
(neg (- (* (neg x) 116) 16))

Outputs
(- (* x 116) 16)
(+ (* x 116) -16)
(- (* (neg x) 116) 16)
(+ (* x -116) -16)
(neg (- (* (neg x) 116) 16))
(+ (* x 116) 16)

explain48.0ms (0.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x #s(literal 116 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`#s(literal 16 binary64)`
-	-	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`

Results

27.0ms	508×	0	valid
0.0ms	2×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

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

ival-mult: 4.0ms (47.2% of total)

ival-sub: 3.0ms (35.4% of total)

const: 1.0ms (11.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize40.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal 116 binary64)
✓	cost-diff	0	x
✓	cost-diff	0	(*.f64 x #s(literal 116 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	11
2	10	11
0	10	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)
x
116
16

Outputs
(- (* x 116) 16)
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(* x 116)
(*.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
16
#s(literal 16 binary64)

Results

12.0ms	254×	0	valid
0.0ms	1×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (47.2% of total)

ival-sub: 2.0ms (47.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (- (* x 116) 16)>
#<alt (* x 116)>
#<alt x>
#<alt 116>

Outputs
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	x
0.0ms	x	@	inf	(- (* x 116) 16)
0.0ms	x	@	inf	(* x 116)
0.0ms	x	@	-inf	(* x 116)
0.0ms	x	@	0	(* x 116)

rewrite946.0ms (14.6%)

Algorithm

1×	batch-egg-rewrite

Rules

9662×	`accelerator-lowering-fma.f32`
9662×	`accelerator-lowering-fma.f64`
4548×	`/-lowering-/.f32`
4548×	`/-lowering-/.f64`
4348×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	24	10
2	150	10
3	1201	10
0	8296	9

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 300

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)
x
116

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (.f64 #s(literal -4096 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64)))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 6393430016 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))) (/.f64 (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) #s(literal 4096 binary64)) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 #s(literal -13456 binary64) (.f64 x x))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 #s(literal -13456 binary64) (*.f64 x x))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)))
x
#s(literal 116 binary64)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	36	100
2	78	100
3	168	100
4	264	100
5	294	100
6	356	100
7	406	100
8	442	100
9	451	100
10	455	100
0	455	91

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x

eval42.0ms (0.6%)

Compiler: Compiled 14288 to 886 computations (93.8% saved)

prune102.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	332	4	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	332	5	337

Accuracy

100.0%

Counts

337 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	66.0%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	45.6%	(*.f64 #s(literal 116 binary64) x)
▶	55.5%	#s(literal -16 binary64)

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize275.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal -16 binary64)
✓	cost-diff	0	#s(literal 116 binary64)
✓	cost-diff	0	x
✓	cost-diff	6272	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	cost-diff	0	(.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal -4096 binary64))
✓	cost-diff	128	(-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))
✓	cost-diff	0	x
✓	cost-diff	0	#s(literal 116 binary64)
✓	cost-diff	0	(*.f64 #s(literal 116 binary64) x)
✓	cost-diff	0	#s(literal -16 binary64)
✓	accuracy	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(.f64 #s(literal -13456 binary64) (.f64 x x))
✓	accuracy	99.4%	(.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	66.9%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 116 binary64) x)

Rules

1624×	`accelerator-lowering-fma.f32`
1624×	`accelerator-lowering-fma.f64`
1032×	`-lowering-.f32`
1032×	`-lowering-.f64`
752×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	42	77
2	84	73
3	144	73
4	264	73
5	480	73
6	1225	73
7	2661	73
8	2908	73
9	2943	73
10	2961	73
11	2969	73
12	2974	73
13	3220	73
14	3524	73
15	3526	73
16	3526	73
17	3526	73
18	3634	73
19	4316	73
0	4316	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-16
(* 116 x)
116
x
(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
(- (* -1560896 (* x (* x x))) -4096)
(* -1560896 (* x (* x x)))
-1560896
(* x (* x x))
(* x x)
-4096
(- (* -13456 (* x x)) (+ 256 (* x 1856)))
(* -13456 (* x x))
-13456
(+ 256 (* x 1856))
256
(* x 1856)
1856
(+ (* x 116) -16)

Outputs
-16
#s(literal -16 binary64)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
116
#s(literal 116 binary64)
x
(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1560896 binary64))) #s(literal 4096 binary64)) (+.f64 #s(literal -256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal -1856 binary64)))))
(- (* -1560896 (* x (* x x))) -4096)
(+.f64 (.f64 (.f64 x x) (*.f64 x #s(literal -1560896 binary64))) #s(literal 4096 binary64))
(* -1560896 (* x (* x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1560896 binary64)))
-1560896
#s(literal -1560896 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-4096
#s(literal -4096 binary64)
(- (* -13456 (* x x)) (+ 256 (* x 1856)))
(+.f64 #s(literal -256 binary64) (.f64 x (+.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -1856 binary64))))
(* -13456 (* x x))
(.f64 x (.f64 x #s(literal -13456 binary64)))
-13456
#s(literal -13456 binary64)
(+ 256 (* x 1856))
(+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))
256
#s(literal 256 binary64)
(* x 1856)
(*.f64 x #s(literal 1856 binary64))
1856
#s(literal 1856 binary64)
(+ (* x 116) -16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))

Results

49.0ms	251×	0	valid
1.0ms	4×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 90 to 20 computations (77.8% saved)

Precisions

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

ival-mult: 13.0ms (40.4% of total)

ival-div: 8.0ms (24.9% of total)

<compiled-spec>: 4.0ms (12.4% of total)

ival-sub: 3.0ms (9.3% of total)

ival-add: 3.0ms (9.3% of total)

const: 1.0ms (3.1% of total)

backward-pass: 1.0ms (3.1% of total)

series22.0ms (0.3%)

Counts

11 → 108

Calls

Call 1

Inputs
#<alt (* 116 x)>
#<alt (/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))>
#<alt (* -1560896 (* x (* x x)))>
#<alt (* -13456 (* x x))>
#<alt (* x (* x x))>
#<alt (+ (* x 116) -16)>
#<alt -16>
#<alt 116>
#<alt x>
#<alt (- (* -13456 (* x x)) (+ 256 (* x 1856)))>
#<alt (- (* -1560896 (* x (* x x))) -4096)>

Outputs
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt -256>
#<alt (- (* -1856 x) 256)>
#<alt (- (* x (- (* -13456 x) 1856)) 256)>
#<alt (- (* x (- (* -13456 x) 1856)) 256)>
#<alt (* -13456 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))>
#<alt (* -13456 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))>
#<alt 4096>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (* -1560896 (pow x 3))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
1.0ms	x	@	-inf	(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
1.0ms	x	@	0	(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
0.0ms	x	@	inf	(* -13456 (* x x))
0.0ms	x	@	-inf	(* -1560896 (* x (* x x)))

rewrite642.0ms (9.9%)

Algorithm

1×	batch-egg-rewrite

Rules

6694×	`accelerator-lowering-fma.f32`
6694×	`accelerator-lowering-fma.f64`
5130×	`-lowering-.f32`
5130×	`-lowering-.f64`
4364×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	103	75
2	848	47
0	8669	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 640

Calls

Call 1

Inputs
(* 116 x)
(/ (- (* -1560896 (* x (* x x))) -4096) (- (* -13456 (* x x)) (+ 256 (* x 1856))))
(* -1560896 (* x (* x x)))
(* -13456 (* x x))
(* x (* x x))
(+ (* x 116) -16)
-16
116
x
(- (* -13456 (* x x)) (+ 256 (* x 1856)))
(- (* -1560896 (* x (* x x))) -4096)

Outputs
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(+.f64 (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) (/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) #s(literal 4096 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) #s(literal 4096 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 181063936 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (.f64 x x) (.f64 #s(literal -13456 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (.f64 x (.f64 x #s(literal -13456 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal 256 binary64))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (*.f64 x #s(literal 1856 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (.f64 x #s(literal 1856 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))) #s(literal 256 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))) #s(literal 1 binary64)))
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(+.f64 (.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal -13456 binary64) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64))))))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (*.f64 x #s(literal -1856 binary64)) #s(literal -256 binary64)))))))
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simplify326.0ms (5%)

Algorithm

1×	egg-herbie

Rules

3620×	`accelerator-lowering-fma.f32`
3620×	`accelerator-lowering-fma.f64`
2256×	`-lowering-.f32`
2256×	`-lowering-.f64`
1638×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	492
1	132	492
2	347	488
3	941	474
4	2466	474
5	5246	474
6	7156	474
0	8134	436

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
x
x
x
x
x
x
x
x
x
x
x
x
-256
(- (* -1856 x) 256)
(- (* x (- (* -13456 x) 1856)) 256)
(- (* x (- (* -13456 x) 1856)) 256)
(* -13456 (pow x 2))
(* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(* -13456 (pow x 2))
(* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
4096
(+ 4096 (* -1560896 (pow x 3)))
(+ 4096 (* -1560896 (pow x 3)))
(+ 4096 (* -1560896 (pow x 3)))
(* -1560896 (pow x 3))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* -1560896 (pow x 3))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))

Outputs
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(- (* 116 x) 16)
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* x (- 116 (* 16 (/ 1 x))))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))
x
x
x
x
x
x
x
x
x
x
x
x
-256
#s(literal -256 binary64)
(- (* -1856 x) 256)
(+.f64 #s(literal -256 binary64) (*.f64 x #s(literal -1856 binary64)))
(- (* x (- (* -13456 x) 1856)) 256)
(+.f64 (.f64 x (+.f64 #s(literal -1856 binary64) (.f64 x #s(literal -13456 binary64)))) #s(literal -256 binary64))
(- (* x (- (* -13456 x) 1856)) 256)
(+.f64 (.f64 x (+.f64 #s(literal -1856 binary64) (.f64 x #s(literal -13456 binary64)))) #s(literal -256 binary64))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -1856 binary64) (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(.f64 x (+.f64 (.f64 x #s(literal -13456 binary64)) (+.f64 #s(literal -1856 binary64) (/.f64 #s(literal -256 binary64) x))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(.f64 x (+.f64 (.f64 x #s(literal -13456 binary64)) (+.f64 #s(literal -1856 binary64) (/.f64 #s(literal -256 binary64) x))))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* -1 (* (pow x 2) (+ 13456 (* 1856 (/ 1 x)))))
(.f64 x (+.f64 #s(literal -1856 binary64) (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(.f64 x (+.f64 (.f64 x #s(literal -13456 binary64)) (+.f64 #s(literal -1856 binary64) (/.f64 #s(literal -256 binary64) x))))
(* (pow x 2) (- (* -1 (/ (+ 1856 (* 256 (/ 1 x))) x)) 13456))
(.f64 x (+.f64 (.f64 x #s(literal -13456 binary64)) (+.f64 #s(literal -1856 binary64) (/.f64 #s(literal -256 binary64) x))))
4096
#s(literal 4096 binary64)
(+ 4096 (* -1560896 (pow x 3)))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(+ 4096 (* -1560896 (pow x 3)))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(+ 4096 (* -1560896 (pow x 3)))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* -1560896 (pow x 3))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))

eval105.0ms (1.6%)

Compiler: Compiled 39844 to 1349 computations (96.6% saved)

prune69.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	861	1	862
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	862	5	867

Accuracy

100.0%

Counts

867 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	11.9%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (.f64 x (*.f64 x #s(literal -13456 binary64))))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	45.6%	(*.f64 #s(literal 116 binary64) x)
✓	55.5%	#s(literal -16 binary64)

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize369.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal -1560896 binary64)
✓	cost-diff	0	(.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal -4096 binary64))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (.f64 x (*.f64 x #s(literal -13456 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -13456 binary64)))
✓	accuracy	99.4%	(.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	66.8%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (.f64 x (*.f64 x #s(literal -13456 binary64))))

Rules

6644×	`accelerator-lowering-fma.f32`
6644×	`accelerator-lowering-fma.f64`
4882×	`-lowering-.f32`
4882×	`-lowering-.f64`
3084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	28	43
2	92	43
3	333	39
4	767	39
5	1297	39
6	3624	39
7	6515	39
0	8015	37

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
(- (* -1560896 (* x (* x x))) -4096)
(* -1560896 (* x (* x x)))
-1560896
(* x (* x x))
x
(* x x)
-4096
(* x (* x -13456))
(* x -13456)
-13456

Outputs
(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal -256/841 binary64) x) x))
(- (* -1560896 (* x (* x x))) -4096)
(+.f64 (.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x))) #s(literal 4096 binary64))
(* -1560896 (* x (* x x)))
(.f64 x (.f64 #s(literal -1560896 binary64) (*.f64 x x)))
-1560896
#s(literal -1560896 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
-4096
#s(literal -4096 binary64)
(* x (* x -13456))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* x -13456)
(*.f64 x #s(literal -13456 binary64))
-13456
#s(literal -13456 binary64)

Results

24.0ms	251×	0	valid
1.0ms	4×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

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

ival-mult: 9.0ms (67.1% of total)

ival-div: 2.0ms (14.9% of total)

const: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

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

series8.0ms (0.1%)

Counts

6 → 60

Calls

Call 1

Inputs
#<alt (/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))>
#<alt (* -1560896 (* x (* x x)))>
#<alt (* x (* x -13456))>
#<alt (* x (* x x))>
#<alt (- (* -1560896 (* x (* x x))) -4096)>
#<alt -1560896>

Outputs
#<alt (/ -256/841 (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (* -13456 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 4096>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (+ 4096 (* -1560896 (pow x 3)))>
#<alt (* -1560896 (pow x 3))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* -1560896 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
0.0ms	x	@	-inf	(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
0.0ms	x	@	inf	(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
0.0ms	x	@	0	(- (* -1560896 (* x (* x x))) -4096)
0.0ms	x	@	0	(* x (* x x))

rewrite608.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6142×	`accelerator-lowering-fma.f32`
6142×	`accelerator-lowering-fma.f64`
4926×	`-lowering-.f32`
4926×	`-lowering-.f64`
3390×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	52	34
2	382	30
3	4723	30
0	8717	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 560

Calls

Call 1

Inputs
(/ (- (* -1560896 (* x (* x x))) -4096) (* x (* x -13456)))
(* -1560896 (* x (* x x)))
(* x (* x -13456))
(* x (* x x))
(- (* -1560896 (* x (* x x))) -4096)
-1560896

Outputs
(+.f64 (.f64 x #s(literal 116 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/841 binary64) (.f64 x x))))
(+.f64 (.f64 x #s(literal 116 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/841 binary64) (*.f64 x x)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1/13456 binary64) x) x) #s(literal 4096 binary64)))
(+.f64 (.f64 x #s(literal 116 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/841 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/841 binary64) (.f64 x x))) (.f64 x #s(literal 116 binary64)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal -1/13456 binary64) x) x) #s(literal 4096 binary64)) (.f64 x #s(literal 116 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256/841 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256/841 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256/841 binary64) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (/.f64 #s(literal -68719476736 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64))) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64))) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256/841 binary64) (.f64 x x)))))
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(/.f64 (.f64 (+.f64 (.f64 #s(literal -55000382414179371155683769021694645606691644998162579456 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal 324518553658426726783156020576256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64))))))) (+.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 14462514456854182051674198147120234496 binary64)))) #s(literal 4722366482869645213696 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 261337508844532075825354244096 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 14462514456854182051674198147120234496 binary64)))) #s(literal -4722366482869645213696 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal -68719476736 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 14462514456854182051674198147120234496 binary64)))) #s(literal -4722366482869645213696 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)))) (+.f64 (.f64 #s(literal 5936027041831326482169856 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 281474976710656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 40875947369489760256 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 5936027041831326482169856 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -281474976710656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal 16777216 binary64)))
(pow.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal 4096 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal 4096 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal 16777216 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -6393430016 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal 4096 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 6393430016 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal 16777216 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -6393430016 binary64)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (*.f64 x x))) #s(literal -4096 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 6393430016 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64))) (+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 14462514456854182051674198147120234496 binary64)))) (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))) (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))))) (+.f64 (.f64 #s(literal 5936027041831326482169856 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))) (-.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal 68719476736 binary64)) (-.f64 (.f64 #s(literal 5936027041831326482169856 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))) (+.f64 #s(literal 16777216 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64))))))) (-.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 6393430016 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -3802961274698203136 binary64)))) #s(literal -68719476736 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -6393430016 binary64)))))
#s(literal -1560896 binary64)

simplify261.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3716×	`accelerator-lowering-fma.f32`
3716×	`accelerator-lowering-fma.f64`
3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
1228×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	340
1	83	340
2	231	340
3	720	322
4	2664	322
5	3968	322
6	5949	322
7	7251	322
0	8012	304

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -256/841 (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(* 116 x)
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* 116 x)
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -1560896 (pow x 3))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(* -13456 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
4096
(+ 4096 (* -1560896 (pow x 3)))
(+ 4096 (* -1560896 (pow x 3)))
(+ 4096 (* -1560896 (pow x 3)))
(* -1560896 (pow x 3))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* -1560896 (pow x 3))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))

Outputs
(/ -256/841 (pow x 2))
(/.f64 #s(literal -256/841 binary64) (*.f64 x x))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(* -13456 (pow x 2))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
4096
#s(literal 4096 binary64)
(+ 4096 (* -1560896 (pow x 3)))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(+ 4096 (* -1560896 (pow x 3)))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(+ 4096 (* -1560896 (pow x 3)))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* (pow x 3) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* -1560896 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))
(* -1 (* (pow x 3) (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(-.f64 #s(literal 4096 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1560896 binary64)))

eval76.0ms (1.2%)

Compiler: Compiled 19103 to 1435 computations (92.5% saved)

prune133.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	618	2	620
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	620	5	625

Accuracy

100.0%

Counts

625 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.0%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x)) (*.f64 x #s(literal -13456 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	45.2%	(.f64 (-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (*.f64 x x))) #s(literal -1/13456 binary64))
✓	45.6%	(*.f64 #s(literal 116 binary64) x)
✓	55.5%	#s(literal -16 binary64)

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize495.0ms (7.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(literal -1560896 binary64)
✓	cost-diff	0	(.f64 #s(literal -1560896 binary64) (.f64 x x))
✓	cost-diff	0	(-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x)) (*.f64 x #s(literal -13456 binary64)))
✓	cost-diff	0	#s(literal -1560896 binary64)
✓	cost-diff	0	(*.f64 #s(literal -1560896 binary64) x)
✓	cost-diff	0	(-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (.f64 x x)))
✓	cost-diff	128	(.f64 (-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (*.f64 x x))) #s(literal -1/13456 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -13456 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x))
✓	accuracy	99.2%	(.f64 #s(literal -1560896 binary64) (.f64 x x))
✓	accuracy	78.6%	(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x)) (*.f64 x #s(literal -13456 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -1560896 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (.f64 x x)))
✓	accuracy	99.1%	(.f64 (-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (*.f64 x x))) #s(literal -1/13456 binary64))
✓	accuracy	98.6%	(/.f64 #s(literal -4096 binary64) (*.f64 x x))

Rules

4790×	`-lowering-.f32`
4790×	`-lowering-.f64`
4580×	`accelerator-lowering-fma.f32`
4580×	`accelerator-lowering-fma.f64`
2006×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	30	67
2	90	63
3	225	63
4	488	63
5	1076	63
6	2638	63
7	4235	63
8	6313	63
9	7365	63
10	7937	63
0	8214	59

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- (* -1560896 x) (/ -4096 (* x x))) -1/13456)
(- (* -1560896 x) (/ -4096 (* x x)))
(* -1560896 x)
-1560896
x
(/ -4096 (* x x))
-4096
(* x x)
-1/13456
(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
(- (* -1560896 (* x x)) (/ -4096 x))
(* -1560896 (* x x))
(/ -4096 x)
(* x -13456)
-13456

Outputs
(* (- (* -1560896 x) (/ -4096 (* x x))) -1/13456)
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(- (* -1560896 x) (/ -4096 (* x x)))
(+.f64 (*.f64 #s(literal -1560896 binary64) x) (/.f64 (/.f64 #s(literal 4096 binary64) x) x))
(* -1560896 x)
(*.f64 #s(literal -1560896 binary64) x)
-1560896
#s(literal -1560896 binary64)
x
(/ -4096 (* x x))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
-4096
#s(literal -4096 binary64)
(* x x)
(*.f64 x x)
-1/13456
#s(literal -1/13456 binary64)
(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(- (* -1560896 (* x x)) (/ -4096 x))
(+.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal 4096 binary64) x))
(* -1560896 (* x x))
(.f64 #s(literal -1560896 binary64) (.f64 x x))
(/ -4096 x)
(/.f64 #s(literal -4096 binary64) x)
(* x -13456)
(*.f64 x #s(literal -13456 binary64))
-13456
#s(literal -13456 binary64)

Results

131.0ms	251×	0	valid
27.0ms	5×	5	exit

Compiler

Compiled 77 to 16 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 34.0ms (51.3% of total)

backward-pass: 22.0ms (33.2% of total)

ival-div: 7.0ms (10.6% of total)

ival-sub: 3.0ms (4.5% of total)

const: 1.0ms (1.5% of total)

series15.0ms (0.2%)

Counts

9 → 96

Calls

Call 1

Inputs
#<alt (/ -4096 (* x x))>
#<alt (* (- (* -1560896 x) (/ -4096 (* x x))) -1/13456)>
#<alt (- (* -1560896 x) (/ -4096 (* x x)))>
#<alt (* -1560896 x)>
#<alt (/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))>
#<alt (* -1560896 (* x x))>
#<alt (- (* -1560896 (* x x)) (/ -4096 x))>
#<alt (* x -13456)>
#<alt -1560896>

Outputs
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -4096 (pow x 2))>
#<alt (/ -256/841 (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (/ 4096 (pow x 2))>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))>
#<alt (* -1560896 x)>
#<alt (* x (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* x (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* x (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* -1560896 x)>
#<alt (* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (* -1560896 x)>
#<alt (/ -256/841 (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (/ (- (* 116 (pow x 3)) 256/841) (pow x 2))>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* x (- 116 (* 256/841 (/ 1 (pow x 3)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (* -1560896 (pow x 2))>
#<alt (/ 4096 x)>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) x)>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) x)>
#<alt (/ (+ 4096 (* -1560896 (pow x 3))) x)>
#<alt (* -1560896 (pow x 2))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* -1560896 (pow x 2))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>
#<alt (* -13456 x)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (- (* -1560896 x) (/ -4096 (* x x))) -1/13456)
1.0ms	x	@	inf	(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
0.0ms	x	@	-inf	(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
0.0ms	x	@	0	(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
0.0ms	x	@	0	(/ -4096 (* x x))

rewrite595.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

7738×	`accelerator-lowering-fma.f32`
7738×	`accelerator-lowering-fma.f64`
5388×	`-lowering-.f32`
5388×	`-lowering-.f64`
3798×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	79	57
2	738	53
0	8795	49

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 744

Calls

Call 1

Inputs
(/ -4096 (* x x))
(* (- (* -1560896 x) (/ -4096 (* x x))) -1/13456)
(- (* -1560896 x) (/ -4096 (* x x)))
(* -1560896 x)
(/ (- (* -1560896 (* x x)) (/ -4096 x)) (* x -13456))
(* -1560896 (* x x))
(- (* -1560896 (* x x)) (/ -4096 x))
(* x -13456)
-1560896

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -4096 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4096 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 4096 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 4096 binary64) (*.f64 x x)))
(neg.f64 (.f64 (/.f64 #s(literal 4096 binary64) (.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4096 binary64) x)))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -4096 binary64) x) x)
(/.f64 #s(literal 4096 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -4096 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -4096 binary64)))
(/.f64 (/.f64 #s(literal 4096 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 4096 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal 4096 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 4096 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -4096 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 4096 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -4096 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal -4096 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -4096 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 #s(literal -4096 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -4096 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -4096 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -4096 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal 4096 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 4096 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal 4096 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -4096 binary64) (.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -4096 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -4096 binary64) x))
(*.f64 (/.f64 #s(literal 4096 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -4096 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -4096 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -4096 binary64) x))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(+.f64 (.f64 x #s(literal 116 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -256/841 binary64) (*.f64 x x))))
(+.f64 (.f64 x #s(literal 116 binary64)) (.f64 (/.f64 #s(literal -256/841 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -256/841 binary64) (.f64 x x)) (.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 #s(literal -256/841 binary64) (.f64 x x)) (.f64 #s(literal 116 binary64) x))
(+.f64 (.f64 #s(literal 116 binary64) x) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal -1/13456 binary64) x) (.f64 x (.f64 x #s(literal -1560896 binary64)))) (.f64 (/.f64 #s(literal -1/13456 binary64) x) (/.f64 #s(literal 4096 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal -1/13456 binary64) x) (/.f64 #s(literal 4096 binary64) x)) (.f64 (/.f64 #s(literal -1/13456 binary64) x) (.f64 x (.f64 x #s(literal -1560896 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256/841 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal -3802961274698203136 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2436396322816 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) x) x) (.f64 x #s(literal 6393430016 binary64))))) (.f64 x #s(literal -13456 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -68719476736 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2436396322816 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) x) x) (.f64 x #s(literal 6393430016 binary64))))) (.f64 x #s(literal -13456 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2436396322816 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal -1560896 binary64))) (/.f64 #s(literal -4096 binary64) x))) (.f64 x #s(literal -13456 binary64))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) x) x) (+.f64 (.f64 x (.f64 x #s(literal -1560896 binary64))) (/.f64 #s(literal -4096 binary64) x))) (.f64 x #s(literal -13456 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal 13456 binary64))) (neg.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -3802961274698203136 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 #s(literal -13456 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2436396322816 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) x) x) (.f64 x #s(literal 6393430016 binary64))))))) (/.f64 (/.f64 #s(literal -68719476736 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -13456 binary64) (.f64 x (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2436396322816 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 16777216 binary64) x) x) (.f64 x #s(literal 6393430016 binary64))))))))
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(.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4096 binary64) x) (.f64 (*.f64 x x) #s(literal 1560896 binary64))))
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(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 13456 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/13456 binary64) x))
(*.f64 x #s(literal -13456 binary64))
(*.f64 #s(literal -13456 binary64) x)
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(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 13456 binary64))
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(*.f64 #s(literal 13456 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal -1560896 binary64)

simplify331.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

5214×	`accelerator-lowering-fma.f32`
5214×	`accelerator-lowering-fma.f64`
3106×	`-lowering-.f32`
3106×	`-lowering-.f64`
1562×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	616
1	93	616
2	223	616
3	594	580
4	1999	568
5	3222	568
6	5436	568
7	7614	568
0	8055	532

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -4096 (pow x 2))
(/ -256/841 (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(* 116 x)
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* 116 x)
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(/ 4096 (pow x 2))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(* -1560896 x)
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* -1560896 x)
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(* -1560896 x)
(/ -256/841 (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(* 116 x)
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(* 116 x)
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(* -1560896 (pow x 2))
(/ 4096 x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(* -1560896 (pow x 2))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* -1560896 (pow x 2))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)

Outputs
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -4096 (pow x 2))
(/.f64 #s(literal -4096 binary64) (*.f64 x x))
(/ -256/841 (pow x 2))
(/.f64 #s(literal -256/841 binary64) (*.f64 x x))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ 4096 (pow x 2))
(/.f64 #s(literal 4096 binary64) (*.f64 x x))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1560896 binary64)))) (.f64 x x))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1560896 binary64)))) (.f64 x x))
(/ (+ 4096 (* -1560896 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1560896 binary64)))) (.f64 x x))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* x (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* -1 (* x (- 1560896 (* 4096 (/ 1 (pow x 3))))))
(+.f64 (.f64 x #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) (.f64 x x)))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(* -1560896 x)
(*.f64 x #s(literal -1560896 binary64))
(/ -256/841 (pow x 2))
(/.f64 #s(literal -256/841 binary64) (*.f64 x x))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(/ (- (* 116 (pow x 3)) 256/841) (pow x 2))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* x (- 116 (* 256/841 (/ 1 (pow x 3)))))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1 (* x (- (* 256/841 (/ 1 (pow x 3))) 116)))
(+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256/841 binary64) (.f64 x x)))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(/ 4096 x)
(/.f64 #s(literal 4096 binary64) x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1560896 binary64)))) x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1560896 binary64)))) x)
(/ (+ 4096 (* -1560896 (pow x 3))) x)
(/.f64 (+.f64 #s(literal 4096 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1560896 binary64)))) x)
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* -1560896 (pow x 2))
(.f64 (.f64 x x) #s(literal -1560896 binary64))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* (pow x 2) (- (* 4096 (/ 1 (pow x 3))) 1560896))
(+.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (/.f64 #s(literal 4096 binary64) x))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))

eval119.0ms (1.8%)

Compiler: Compiled 20534 to 1261 computations (93.9% saved)

prune126.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	839	2	841
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	841	5	846

Accuracy

100.0%

Counts

846 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.6%	(/.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (*.f64 x #s(literal -13456 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
	44.9%	(.f64 (.f64 x #s(literal -1560896 binary64)) #s(literal -1/13456 binary64))
✓	45.6%	(*.f64 #s(literal 116 binary64) x)
✓	55.5%	#s(literal -16 binary64)

Compiler

Compiled 116 to 60 computations (48.3% saved)

regimes11.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(.f64 (.f64 x #s(literal -1560896 binary64)) #s(literal -1/13456 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (*.f64 x #s(literal -13456 binary64)))
(.f64 (-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (*.f64 x x))) #s(literal -1/13456 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x)) (*.f64 x #s(literal -13456 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (.f64 x (*.f64 x #s(literal -13456 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Calls

3 calls:

4.0ms	(*.f64 x #s(literal 116 binary64))
4.0ms	x
3.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(.f64 (.f64 x #s(literal -1560896 binary64)) #s(literal -1/13456 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1560896 binary64)) (*.f64 x #s(literal -13456 binary64)))
(.f64 (-.f64 (.f64 #s(literal -1560896 binary64) x) (/.f64 #s(literal -4096 binary64) (*.f64 x x))) #s(literal -1/13456 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x x)) (/.f64 #s(literal -4096 binary64) x)) (*.f64 x #s(literal -13456 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (.f64 x (*.f64 x #s(literal -13456 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Calls

3 calls:

6.0ms	(*.f64 x #s(literal 116 binary64))
3.0ms	x
3.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(.f64 (.f64 x #s(literal -1560896 binary64)) #s(literal -1/13456 binary64))

Outputs
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

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 -16 binary64)

Outputs
#s(literal -16 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
55.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0002884183093182604	116285.6478541314
11.0ms	-2501.659299342255	-0.11321289065744833

Results

15.0ms

272×

valid

Compiler

Compiled 146 to 127 computations (13% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 26 to 14 computations (46.2% saved)

preprocess33.0ms (0.5%)

Compiler: Compiled 64 to 38 computations (40.6% saved)

Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

sample541.0ms (8.4%)

preprocess16.0ms (0.2%)

explain48.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.6%)

series6.0ms (0.1%)

rewrite946.0ms (14.6%)

simplify69.0ms (1.1%)

eval42.0ms (0.6%)

prune102.0ms (1.6%)

localize275.0ms (4.2%)

series22.0ms (0.3%)

rewrite642.0ms (9.9%)

simplify326.0ms (5%)

eval105.0ms (1.6%)

prune69.0ms (1.1%)

localize369.0ms (5.7%)

series8.0ms (0.1%)

rewrite608.0ms (9.4%)

simplify261.0ms (4%)

eval76.0ms (1.2%)

prune133.0ms (2.1%)

localize495.0ms (7.6%)

series15.0ms (0.2%)

rewrite595.0ms (9.2%)

simplify331.0ms (5.1%)

eval119.0ms (1.8%)

prune126.0ms (1.9%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch25.0ms (0.4%)

soundness1.0ms (0%)

preprocess33.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	100
1	36	100
2	78	100
3	168	100
4	264	100
5	294	100
6	356	100
7	406	100
8	442	100
9	451	100
10	455	100
0	455	91

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	100
1	36	100
2	78	100
3	168	100
4	264	100
5	294	100
6	356	100
7	406	100
8	442	100
9	451	100
10	455	100
0	455	91

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	100
1	36	100
2	78	100
3	168	100
4	264	100
5	294	100
6	356	100
7	406	100
8	442	100
9	451	100
10	455	100
0	455	91