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)

sample533.0ms (8.5%)

Results

369.0ms	8190×	0	valid
5.0ms	32×	2	valid
3.0ms	34×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-sub: 73.0ms (45.9% of total)

ival-mult: 68.0ms (42.8% of total)

const: 14.0ms (8.8% of total)

backward-pass: 4.0ms (2.5% of total)

Bogosity

preprocess27.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

164×	`fmsub-define`
158×	`fnmsub-define`
158×	`fnmadd-define`
136×	`fmm-def`
64×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	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)
(fnmsub x -116 16)
(- (* (neg x) 116) 16)
(fnmsub x 116 16)
(neg (- (* (neg x) 116) 16))
(fnmsub x -116 -16)

explain57.0ms (0.9%)

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

33.0ms	502×	0	valid
2.0ms	8×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 6.0ms (53.1% of total)

ival-mult: 4.0ms (35.4% of total)

const: 1.0ms (8.9% 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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`fma-lowering-fma.f32`
4×	`fmsub-define`
4×	`+-lowering-+.f64`
4×	`fmm-def`
4×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	11	10
2	14	10
0	14	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)

localize24.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Results

16.0ms	251×	0	valid
1.0ms	4×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (44.1% of total)

ival-sub: 2.0ms (44.1% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite355.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3476×	`/-lowering-/.f32`
3476×	`/-lowering-/.f64`
3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
2738×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	26	7
2	160	7
3	1341	7
0	8636	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 258

Calls

Call 1

Inputs
(- (* x 116) 16)
(* 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 (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (/.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))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.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)))))) #s(literal 4096 binary64) (.f64 (/.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))))) #s(literal 4096 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))) (fma.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))))
(+.f64 (fma.f64 (.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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))))))))) (fma.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 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))))) (neg.f64 (.f64 (/.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))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.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)))))) #s(literal 4096 binary64) (.f64 (/.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))))) #s(literal 4096 binary64))))
(+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 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))))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))))))) (fma.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64)))))) (/.f64 #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 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))))))
(+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 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))))) (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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))))))))) (fma.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))) (/.f64 #s(literal 4096 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.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 (fma.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 (.f64 x #s(literal 116 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (neg.f64 (.f64 (/.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))))) #s(literal 4096 binary64)))) (fma.f64 (neg.f64 (/.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)))))) #s(literal 4096 binary64) (.f64 (/.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))))) #s(literal 4096 binary64))))
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(.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 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (*.f64 x #s(literal 13456 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 (.f64 x x) (.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 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 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 (.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 (.f64 x x) (.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 x (.f64 x #s(literal 13456 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 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))) (+.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 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 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 (.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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 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 (.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 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.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 (.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 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (-.f64 #s(literal 0 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 (.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 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 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)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 (.f64 x x) (.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 (.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 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 (.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 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 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 116 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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 (neg.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 0 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 (.f64 x x) (.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 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #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 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.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)) #s(literal 1 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 #s(literal 116 binary64)) #s(literal -16 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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 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 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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 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 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 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 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 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 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 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 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)) #s(literal 1 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 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)))

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

248×	`fma-define`
220×	`fma-lowering-fma.f32`
220×	`fma-lowering-fma.f64`
210×	`fmsub-define`
182×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)

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)

eval41.0ms (0.7%)

Compiler: Compiled 14451 to 793 computations (94.5% saved)

prune32.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	278	4	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	5	283

Accuracy

100.0%

Counts

283 → 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))
▶	75.0%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	48.3%	(*.f64 #s(literal 116 binary64) x)
▶	53.2%	#s(literal -16 binary64)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify120.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6272	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 13456 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 116 binary64) x)

Rules

2408×	`fnmadd-define`
1916×	`fma-define`
1018×	`fmsub-define`
1002×	`fnmsub-define`
920×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	31	51
2	73	47
3	151	47
4	289	47
5	527	47
6	1348	47
7	2978	47
8	5317	47
9	6045	47
10	6245	47
11	6273	47
12	6277	47
0	6277	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (1.3%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	accuracy	75.0%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 116 binary64) x)

Results

56.0ms	248×	0	valid
2.0ms	4×	2	valid
1.0ms	3×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45% of total)

compiled-spec: 9.0ms (28.9% of total)

ival-sub: 3.0ms (9.6% of total)

ival-div: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

backward-pass: 1.0ms (3.2% of total)

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

series17.0ms (0.3%)

Counts

8 → 96

Calls

Call 1

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

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 256>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<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 (* 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)>
#<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 -16>
#<alt (- (* -116 x) 16)>
#<alt (- (* -116 x) 16)>
#<alt (- (* -116 x) 16)>
#<alt (* -116 x)>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -116 x)>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 116 (* 16 (/ 1 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 (* 116 x)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
1.0ms	x	@	0	(* x 13456)
1.0ms	x	@	inf	(/ (- 256 (* x (* x 13456))) (- -16 (* x 116)))
0.0ms	x	@	inf	(* x (* x 13456))
0.0ms	x	@	-inf	(* x 13456)

rewrite510.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5418×	`-lowering-.f32`
5418×	`-lowering-.f64`
4070×	`/-lowering-/.f32`
4070×	`/-lowering-/.f64`
1188×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	74	32
2	647	30
0	9040	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 758

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -116 binary64)))
(neg.f64 (*.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 116 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 116 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 116 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 #s(literal -16 binary64) (.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(+.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(+.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(+.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))))
(+.f64 (fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) x (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))) x)))
(+.f64 (fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x #s(literal 13456 binary64))))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x #s(literal 13456 binary64)) (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x #s(literal 13456 binary64)))))
(+.f64 (fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x x) (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))))) (fma.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))))
(+.f64 (fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))) (fma.f64 (+.f64 (.f64 x #s(literal -116 binary64)) #s(literal 16 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) x (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))) x)))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x #s(literal 13456 binary64))))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x #s(literal 13456 binary64)) (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x #s(literal 13456 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x x) (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x x))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))))) (fma.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))))))) (fma.f64 (+.f64 (.f64 x #s(literal -116 binary64)) #s(literal 16 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (.f64 (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) x (.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 #s(literal -16 binary64) (*.f64 x #s(literal -116 binary64)))) x)))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x #s(literal 13456 binary64))))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x #s(literal 13456 binary64)) (.f64 (/.f64 x (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x #s(literal 13456 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (neg.f64 (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64))))) (.f64 x x) (.f64 (/.f64 #s(literal 13456 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (*.f64 x x))))
(+.f64 (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)) (neg.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))))))) (fma.f64 (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal -4096 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))))
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(*.f64 #s(literal 116 binary64) x)
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(*.f64 x #s(literal 116 binary64))
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simplify178.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2024×	`-lowering-.f32`
2024×	`-lowering-.f64`
2016×	`sum3-define`
1380×	`fma-lowering-fma.f32`
1380×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	371
1	87	339
2	205	339
3	423	339
4	636	339
5	1009	339
6	1964	339
7	5832	339
0	8300	339

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
256
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* 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))
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 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)))
-16
(- (* -116 x) 16)
(- (* -116 x) 16)
(- (* -116 x) 16)
(* -116 x)
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -116 x)
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* -1 (* x (+ 116 (* 16 (/ 1 x)))))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

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

eval189.0ms (3%)

Compiler: Compiled 28247 to 1549 computations (94.5% saved)

prune79.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	853	1	854
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	854	5	859

Accuracy

100.0%

Counts

859 → 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))
▶	22.7%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	48.3%	(*.f64 #s(literal 116 binary64) x)
✓	53.2%	#s(literal -16 binary64)

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify181.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 13456 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))

Rules

2196×	`-lowering-.f32`
2196×	`-lowering-.f64`
1834×	`/-lowering-/.f32`
1834×	`/-lowering-/.f64`
1630×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	24	30
2	82	26
3	253	25
4	1280	25
5	4398	25
6	6848	25
0	8233	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(- 256 (* x (* x 13456)))
256
(* x (* x 13456))
x
(* x 13456)
13456
(* x -116)
-116

Outputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (/.f64 x #s(literal 1/116 binary64)))
(- 256 (* x (* x 13456)))
(-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
256
#s(literal 256 binary64)
(* x (* x 13456))
(.f64 x (.f64 x #s(literal 13456 binary64)))
x
(* x 13456)
(*.f64 x #s(literal 13456 binary64))
13456
#s(literal 13456 binary64)
(* x -116)
(/.f64 x #s(literal -1/116 binary64))
-116
#s(literal -116 binary64)

localize75.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 13456 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -116 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 13456 binary64)))
✓	accuracy	74.8%	(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))

Results

54.0ms	248×	0	valid
4.0ms	6×	1	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (51.1% of total)

ival-div: 2.0ms (20.5% of total)

const: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

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

series2.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (- 256 (* x (* x 13456))) (* x -116))>
#<alt (- 256 (* x (* x 13456)))>
#<alt (* x (* x 13456))>
#<alt (* x 13456)>
#<alt (* x -116)>

Outputs
#<alt (/ -64/29 x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt 256>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (+ 256 (* -13456 (pow x 2)))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* -13456 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))>
#<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 (* 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)>
#<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)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	inf	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	-inf	(/ (- 256 (* x (* x 13456))) (* x -116))
0.0ms	x	@	0	(* x -116)
0.0ms	x	@	0	(- 256 (* x (* x 13456)))

rewrite293.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2758×	`-lowering-.f32`
2758×	`-lowering-.f64`
1982×	`/-lowering-/.f32`
1982×	`/-lowering-/.f64`
1558×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	47	26
2	371	22
3	4594	21
0	8033	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 452

Calls

Call 1

Inputs
(/ (- 256 (* x (* x 13456))) (* x -116))
(- 256 (* x (* x 13456)))
(* x (* x 13456))
(* x 13456)
(* x -116)

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 (*.f64 x x) #s(literal -13456 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (/.f64 #s(literal 1/116 binary64) x) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal -116 binary64) x)) (.f64 x x)) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 x #s(literal 116 binary64)) (*.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 #s(literal 116 binary64) (.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 13456 binary64) x)) (/.f64 (.f64 x x) #s(literal -116 binary64))) (.f64 x #s(literal -116 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 (*.f64 x x) #s(literal -13456 binary64))) (/.f64 #s(literal -64/29 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -64/29 binary64) x) #s(literal 1 binary64)) (.f64 x #s(literal 116 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -116 binary64) (+.f64 (/.f64 #s(literal 256 binary64) x) (.f64 x #s(literal -13456 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal 116 binary64))) (-.f64 (/.f64 #s(literal 256 binary64) (.f64 x #s(literal 116 binary64))) (*.f64 x #s(literal 116 binary64))))
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(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) #s(literal 116 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -116 binary64)) (/.f64 #s(literal 13456 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -116 binary64) x))

simplify234.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2170×	`fmm-def`
1952×	`-lowering-.f32`
1952×	`-lowering-.f64`
1894×	`fma-lowering-fma.f32`
1894×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	287
1	75	246
2	154	246
3	341	237
4	732	237
5	1233	237
6	2871	237
7	7040	237
0	8520	237

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -64/29 x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(* 116 x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
256
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(+ 256 (* -13456 (pow x 2)))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* -13456 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(* 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))
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* 13456 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)

Outputs
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -64/29 binary64) x))
256
#s(literal 256 binary64)
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(+ 256 (* -13456 (pow x 2)))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* -13456 (pow x 2))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal -13456 binary64))))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 #s(literal 256 binary64) (.f64 x (.f64 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))
(* 13456 (pow x 2))
(.f64 (.f64 x 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))
(* 13456 x)
(*.f64 x #s(literal 13456 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))

eval118.0ms (1.9%)

Compiler: Compiled 11706 to 1320 computations (88.7% saved)

prune57.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	509	3	512
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	510	7	517

Accuracy

100.0%

Counts

517 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	47.6%	(/.f64 (-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64))) #s(literal -1/116 binary64))
▶	47.5%	(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
▶	23.3%	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	48.3%	(*.f64 #s(literal 116 binary64) x)
✓	53.2%	#s(literal -16 binary64)

Compiler

Compiled 49 to 38 computations (22.4% saved)

simplify207.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64))) #s(literal -1/116 binary64))
✓	cost-diff	128	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal -13456 binary64))
✓	cost-diff	0	(/.f64 #s(literal 256 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -116 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -13456 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -13456 binary64)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))

Rules

2714×	`-lowering-.f32`
2714×	`-lowering-.f64`
2394×	`/-lowering-/.f32`
2394×	`/-lowering-/.f64`
1654×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	53	63
2	163	63
3	355	62
4	893	62
5	3481	62
6	6276	62
0	8124	62

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (* x -13456)) (* x -116))
(* x (* x -13456))
x
(* x -13456)
-13456
(* x -116)
-116
(/ (+ (/ 256 x) (* x -13456)) -116)
(+ (/ 256 x) (* x -13456))
(/ 256 x)
256
x
(* x -13456)
-13456
-116
(/ (- (* -64/29 (/ -1/116 x)) (* x 1)) -1/116)
(- (* -64/29 (/ -1/116 x)) (* x 1))
(* -64/29 (/ -1/116 x))
-64/29
(/ -1/116 x)
-1/116
x
(* x 1)
1

Outputs
(/ (* x (* x -13456)) (* x -116))
(/.f64 x #s(literal 1/116 binary64))
(* x (* x -13456))
(.f64 #s(literal -13456 binary64) (.f64 x x))
x
(* x -13456)
(*.f64 x #s(literal -13456 binary64))
-13456
#s(literal -13456 binary64)
(* x -116)
(/.f64 x #s(literal -1/116 binary64))
-116
#s(literal -116 binary64)
(/ (+ (/ 256 x) (* x -13456)) -116)
(/.f64 (+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x)) #s(literal -116 binary64))
(+ (/ 256 x) (* x -13456))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
256
#s(literal 256 binary64)
x
(* x -13456)
(*.f64 x #s(literal -13456 binary64))
-13456
#s(literal -13456 binary64)
-116
#s(literal -116 binary64)
(/ (- (* -64/29 (/ -1/116 x)) (* x 1)) -1/116)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (/.f64 x #s(literal 1/116 binary64)))
(- (* -64/29 (/ -1/116 x)) (* x 1))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* -64/29 (/ -1/116 x))
(/.f64 #s(literal 16/841 binary64) x)
-64/29
#s(literal -64/29 binary64)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
-1/116
#s(literal -1/116 binary64)
x
(* x 1)
x
1
#s(literal 1 binary64)

localize163.0ms (2.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal -1/116 binary64) x)
✓	accuracy	99.7%	(/.f64 (-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64))) #s(literal -1/116 binary64))
✓	accuracy	99.6%	(*.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 256 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -13456 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64)))
✓	accuracy	99.6%	(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -116 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -13456 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -13456 binary64)))
✓	accuracy	49.5%	(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))

Results

80.0ms	243×	0	valid
48.0ms	2×	5	exit
7.0ms	5×	3	valid
3.0ms	6×	1	valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

backward-pass: 46.0ms (56.2% of total)

ival-div: 14.0ms (17.1% of total)

...c/correct-round.rkt:119:19: 9.0ms (11% of total)

ival-mult: 9.0ms (11% of total)

ival-add: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

series7.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ (* x (* x -13456)) (* x -116))>
#<alt (* x (* x -13456))>
#<alt (* x -13456)>
#<alt (* x -116)>
#<alt (/ (+ (/ 256 x) (* x -13456)) -116)>
#<alt (+ (/ 256 x) (* x -13456))>
#<alt (/ 256 x)>
#<alt (* -64/29 (/ -1/116 x))>
#<alt (* x 1)>
#<alt (/ (- (* -64/29 (/ -1/116 x)) (* x 1)) -1/116)>
#<alt (- (* -64/29 (/ -1/116 x)) (* x 1))>
#<alt (/ -1/116 x)>

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 (* -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 (* -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)>
#<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 (/ -64/29 x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (/ 256 x)>
#<alt (/ (+ 256 (* -13456 (pow x 2))) x)>
#<alt (/ (+ 256 (* -13456 (pow x 2))) x)>
#<alt (/ (+ 256 (* -13456 (pow x 2))) x)>
#<alt (* -13456 x)>
#<alt (* x (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* x (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* x (- (* 256 (/ 1 (pow x 2))) 13456))>
#<alt (* -13456 x)>
#<alt (* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 256 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 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>
#<alt (/ -64/29 x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (/ (- (* 116 (pow x 2)) 64/29) x)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* x (- 116 (* 64/29 (/ 1 (pow x 2)))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))>
#<alt (/ 16/841 x)>
#<alt (/ (+ 16/841 (* -1 (pow x 2))) x)>
#<alt (/ (+ 16/841 (* -1 (pow x 2))) x)>
#<alt (/ (+ 16/841 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 16/841 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 16/841 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 16/841 (/ 1 (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>
#<alt (/ -1/116 x)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* -64/29 (/ -1/116 x))
0.0ms	x	@	-inf	(/ (+ (/ 256 x) (* x -13456)) -116)
0.0ms	x	@	inf	(/ (+ (/ 256 x) (* x -13456)) -116)
0.0ms	x	@	0	(/ -1/116 x)
0.0ms	x	@	0	(* -64/29 (/ -1/116 x))

rewrite655.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3540×	`-lowering-.f32`
3540×	`-lowering-.f64`
3034×	`/-lowering-/.f32`
3034×	`/-lowering-/.f64`
1674×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	124	49
2	898	49
0	8599	49

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 776

Calls

Call 1

Inputs
(/ (* x (* x -13456)) (* x -116))
(* x (* x -13456))
(* x -13456)
(* x -116)
(/ (+ (/ 256 x) (* x -13456)) -116)
(+ (/ 256 x) (* x -13456))
(/ 256 x)
(* -64/29 (/ -1/116 x))
(* x 1)
(/ (- (* -64/29 (/ -1/116 x)) (* x 1)) -1/116)
(- (* -64/29 (/ -1/116 x)) (* x 1))
(/ -1/116 x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/116 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/116 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/116 binary64))) (/.f64 x #s(literal -1/116 binary64)))
(neg.f64 (/.f64 x #s(literal -1/116 binary64)))
(/.f64 x #s(literal 1/116 binary64))
(/.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal -116 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (/.f64 x #s(literal -1/116 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/116 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (/.f64 #s(literal 1/116 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/116 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 x #s(literal 1/116 binary64)))
(/.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 116 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1/116 binary64) x)) x)
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64)) x)
(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 1/116 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1/1560896 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/116 binary64))))))
(pow.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -13456 binary64) (pow.f64 (/.f64 #s(literal -116 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal -13456 binary64) (/.f64 (.f64 x x) (/.f64 x #s(literal -1/116 binary64))))
(.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -1/116 binary64))
(.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal -1/116 binary64) x))
(*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1/116 binary64) (.f64 x #s(literal -13456 binary64)))
(.f64 (/.f64 #s(literal -1/116 binary64) x) (.f64 x (*.f64 x #s(literal -13456 binary64))))
(.f64 (/.f64 #s(literal -1/116 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/116 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/116 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(.f64 #s(literal 1/116 binary64) (.f64 x #s(literal 13456 binary64)))
(*.f64 #s(literal 116 binary64) x)
(.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal 1/116 binary64) x))
(*.f64 (/.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(*.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal -1/116 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 x #s(literal -1/116 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -116 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (.f64 x x) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64))))
(.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1/116 binary64))
(.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/116 binary64))))
(.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 x (/.f64 x #s(literal 1/116 binary64))))
(.f64 #s(literal 1/13456 binary64) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) (/.f64 x #s(literal -116 binary64))))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -13456 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -116 binary64)) (/.f64 #s(literal -13456 binary64) x))
(.f64 (/.f64 #s(literal -13456 binary64) x) (/.f64 (.f64 x x) #s(literal -116 binary64)))
(.f64 (/.f64 x #s(literal -13456 binary64)) (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -13456 binary64))) (/.f64 (*.f64 x #s(literal 13456 binary64)) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -13456 binary64))) (/.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal 116 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal 1/116 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 1/116 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64))) (.f64 x x))
(*.f64 (pow.f64 (/.f64 #s(literal -116 binary64) x) #s(literal -1 binary64)) #s(literal -13456 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 116 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x #s(literal -13456 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/13456 binary64) (/.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1/116 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 x #s(literal -1/116 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 x #s(literal -1/116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (*.f64 x #s(literal -13456 binary64))) (/.f64 x #s(literal 1/116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -13456 binary64))) (/.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal -1/116 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -13456 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal -116 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) (/.f64 x #s(literal -1/116 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x #s(literal -13456 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal -1/116 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (/.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (.f64 x x) (*.f64 x #s(literal -13456 binary64))) #s(literal -1560896 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 13456 binary64) (/.f64 x #s(literal -1/116 binary64))))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) #s(literal -116 binary64))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 13456 binary64) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) x) (/.f64 x #s(literal 116 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal 1/116 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal -1/116 binary64))) #s(literal -13456 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) #s(literal -116 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -116 binary64)) (/.f64 #s(literal -13456 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal 1/116 binary64))))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 x #s(literal -116 binary64))) (/.f64 x #s(literal -13456 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 #s(literal -1/116 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal -1/116 binary64) x)) (/.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 x (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 (.f64 x #s(literal 13456 binary64)) x))
(.f64 (/.f64 x (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 x (/.f64 x #s(literal 1/116 binary64))) (.f64 x #s(literal 13456 binary64)))
(.f64 (/.f64 x (/.f64 x #s(literal -116 binary64))) (/.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -13456 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -13456 binary64)) (/.f64 x (/.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 x (/.f64 (.f64 x x) #s(literal -116 binary64))) (/.f64 (*.f64 x #s(literal 13456 binary64)) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -116 binary64))) (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -13456 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/116 binary64) x)) (/.f64 (.f64 x #s(literal -13456 binary64)) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal -1/116 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal 1/116 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 x #s(literal -116 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -13456 binary64)))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) #s(literal -13456 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -13456 binary64)) (/.f64 (*.f64 x x) #s(literal -116 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal -13456 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal -116 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x x) #s(literal -116 binary64))) (/.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal 13456 binary64) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1/116 binary64) x)) (/.f64 #s(literal 13456 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 (.f64 x x) #s(literal 116 binary64)) (/.f64 #s(literal 13456 binary64) x))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 #s(literal 13456 binary64) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal 1/116 binary64))) #s(literal 13456 binary64))
(.f64 (/.f64 (.f64 x x) (/.f64 x #s(literal -116 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -13456 binary64)) (/.f64 #s(literal 13456 binary64) (/.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 (*.f64 x x) #s(literal -116 binary64))) (/.f64 #s(literal 13456 binary64) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -13456 binary64)) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -116 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal -13456 binary64))) #s(literal 1560896 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -13456 binary64)))) (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -1/116 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1/116 binary64) x)) (/.f64 #s(literal -13456 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 x #s(literal 1/116 binary64))) #s(literal -13456 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 x #s(literal -116 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal -116 binary64))) (/.f64 #s(literal -13456 binary64) (/.f64 #s(literal -13456 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal -13456 binary64))) (/.f64 x #s(literal -1/116 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64)))) (/.f64 x (/.f64 #s(literal 1/116 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (*.f64 x x)) (/.f64 x (/.f64 #s(literal -13456 binary64) (/.f64 x #s(literal -1/116 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 (*.f64 x x) #s(literal -116 binary64))) (/.f64 x (/.f64 #s(literal -13456 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 13456 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 13456 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -13456 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal -13456 binary64)))
(.f64 #s(literal -13456 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -13456 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal -13456 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 13456 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 13456 binary64)))
(.f64 (.f64 x x) #s(literal -13456 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 13456 binary64))
(.f64 (.f64 x #s(literal 13456 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal 13456 binary64)))
(neg.f64 (*.f64 x #s(literal 13456 binary64)))
(/.f64 (*.f64 x #s(literal -13456 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64)))))
(/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -13456 binary64))) #s(literal -1 binary64))
(*.f64 x #s(literal -13456 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))) (.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 256/707281 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 16/841 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 0 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 16/841 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 0 binary64))))) (-.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 0 binary64)) (.f64 x #s(literal 0 binary64))) (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x))) (-.f64 (*.f64 x #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (.f64 (-.f64 x (.f64 x #s(literal 0 binary64))) (-.f64 x (.f64 x #s(literal 0 binary64))))) (+.f64 (/.f64 #s(literal 16/841 binary64) x) (-.f64 x (*.f64 x #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))) (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))))) (+.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))) (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x))
(*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal -16/841 binary64) x)))
(.f64 (-.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (*.f64 x x)))))
(.f64 (-.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 16/841 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 x x)) (*.f64 x x))) #s(literal -16/841 binary64))))
(.f64 (.f64 (+.f64 x (/.f64 #s(literal 16/841 binary64) x)) (+.f64 x (/.f64 #s(literal -16/841 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 16/841 binary64) x)))))
(.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x))) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x)) (.f64 (.f64 x #s(literal 0 binary64)) (-.f64 (.f64 x #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 16/841 binary64) x) x))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (-.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (.f64 x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) x) (.f64 x #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/116 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/116 binary64) x))
(neg.f64 (/.f64 #s(literal 1/116 binary64) x))
(/.f64 #s(literal -116 binary64) (*.f64 x #s(literal 13456 binary64)))
(/.f64 #s(literal -1/116 binary64) x)
(/.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/116 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -116 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/116 binary64)))
(/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 116 binary64) (*.f64 x #s(literal -13456 binary64)))
(/.f64 (/.f64 x #s(literal 1/116 binary64)) (.f64 x (.f64 x #s(literal -13456 binary64))))
(/.f64 (/.f64 x #s(literal -1/116 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64))))
(/.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -116 binary64))
(/.f64 (/.f64 #s(literal -116 binary64) x) #s(literal 13456 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 116 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -116 binary64) x)) #s(literal -13456 binary64))
(pow.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1 binary64))
(.f64 x (neg.f64 (/.f64 #s(literal -116 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))))
(.f64 #s(literal -116 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -13456 binary64)))))
(*.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/116 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/116 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -116 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(*.f64 #s(literal 1/116 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 116 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -13456 binary64))))
(.f64 (/.f64 x #s(literal 1/116 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64)))))
(.f64 (/.f64 x #s(literal -1/116 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -13456 binary64))))))
(*.f64 (/.f64 #s(literal 1/116 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1/13456 binary64) (/.f64 #s(literal -116 binary64) x))
(*.f64 (/.f64 #s(literal -116 binary64) x) #s(literal 1/13456 binary64))
(.f64 (/.f64 #s(literal -116 binary64) (.f64 x x)) (neg.f64 (/.f64 x #s(literal -13456 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/116 binary64))
(*.f64 #s(literal -1/13456 binary64) (neg.f64 (/.f64 #s(literal -116 binary64) x)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -1/116 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -116 binary64) x)) #s(literal -1/13456 binary64))
(.f64 (neg.f64 (/.f64 #s(literal -116 binary64) (.f64 x x))) (/.f64 x #s(literal -13456 binary64)))

simplify208.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1806×	`sum5-define`
1702×	`fnmadd-define`
1592×	`fma-define`
1478×	`fma-lowering-fma.f32`
1478×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	619
1	124	559
2	272	559
3	712	520
4	2364	520
5	4325	520
6	7834	520
0	8658	520

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)
(* -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))
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -13456 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(* -116 x)
(/ -64/29 x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(* 116 x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(/ 256 x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(* -13456 x)
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(* -13456 x)
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 256 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ -64/29 x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(* 116 x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(* 116 x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(/ 16/841 x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)
(/ -1/116 x)

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)
(* -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)))
(* -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))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal 13456 binary64))) x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal 13456 binary64))) x)
(/ (+ 256 (* -13456 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal 13456 binary64))) x)
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(* x (- (* 256 (/ 1 (pow x 2))) 13456))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(* -13456 x)
(*.f64 x #s(literal -13456 binary64))
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(* -1 (* x (- 13456 (* 256 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x #s(literal -13456 binary64)) (/.f64 #s(literal 256 binary64) x))
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 256 x)
(/.f64 #s(literal 256 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ (- (* 116 (pow x 2)) 64/29) x)
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* x (- 116 (* 64/29 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(* -1 (* x (- (* 64/29 (/ 1 (pow x 2))) 116)))
(+.f64 (/.f64 #s(literal -64/29 binary64) x) (*.f64 #s(literal 116 binary64) x))
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(/ (+ 16/841 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* x (- (* 16/841 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(* -1 (* x (- 1 (* 16/841 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 16/841 binary64) x) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)
(/ -1/116 x)
(/.f64 #s(literal -1/116 binary64) x)

eval145.0ms (2.3%)

Compiler: Compiled 14977 to 2236 computations (85.1% saved)

prune149.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	963	2	965
Fresh	0	0	0
Picked	3	0	3
Done	1	3	4
Total	967	5	972

Accuracy

100.0%

Counts

972 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(/.f64 x #s(literal 1/116 binary64))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
	48.1%	(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -13456 binary64))
✓	48.3%	(*.f64 #s(literal 116 binary64) x)
✓	53.2%	#s(literal -16 binary64)

Compiler

Compiled 97 to 55 computations (43.3% saved)

regimes15.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(/.f64 x #s(literal 1/116 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -13456 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64))) #s(literal -1/116 binary64))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 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)

regimes11.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(/.f64 x #s(literal 1/116 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -13456 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -13456 binary64))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 256 binary64) x) (*.f64 x #s(literal -13456 binary64))) #s(literal -116 binary64))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (*.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1/116 binary64) x)) (.f64 x #s(literal 1 binary64))) #s(literal -1/116 binary64))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 x #s(literal 13456 binary64)))) (-.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))

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

Calls

3 calls:

4.0ms	(*.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)

regimes3.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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
97.9%	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
53.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.136016512901911e-5	2.8068932094227424e+21
18.0ms	-0.5715217852874802	-3.6654674769720737e-6

Results

21.0ms

320×

valid

Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (43% of total)

ival-mult: 2.0ms (43% of total)

const: 1.0ms (21.5% of total)

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

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.136016512901911e-5	2.8068932094227424e+21
31.0ms	-0.5715217852874802	-3.6654674769720737e-6

Results

34.0ms

320×

valid

Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (43.5% of total)

ival-mult: 2.0ms (43.5% of total)

const: 1.0ms (21.7% of total)

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

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	24	38
2	29	38
3	31	38
4	32	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x #s(literal 1/116 binary64)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))
#s(literal -16 binary64)

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x #s(literal 1/116 binary64)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x #s(literal 1/116 binary64)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (.f64 x #s(literal 116 binary64))))
#s(literal -16 binary64)

soundness1.3s (20.7%)

Rules

3540×	`-lowering-.f32`
3540×	`-lowering-.f64`
3476×	`/-lowering-/.f32`
3476×	`/-lowering-/.f64`
3292×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	371
1	87	339
2	205	339
3	423	339
4	636	339
5	1009	339
6	1964	339
7	5832	339
0	8300	339
0	5	7
1	26	7
2	160	7
3	1341	7
0	8636	7
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79
0	32	287
1	75	246
2	154	246
3	341	237
4	732	237
5	1233	237
6	2871	237
7	7040	237
0	8520	237
0	19	58
1	124	49
2	898	49
0	8599	49

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 100 to 62 computations (38% saved)

preprocess42.0ms (0.7%)

Compiler: Compiled 94 to 42 computations (55.3% saved)

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79

analyze0.0ms (0%)

sample533.0ms (8.5%)

preprocess27.0ms (0.4%)

explain57.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize24.0ms (0.4%)

series2.0ms (0%)

rewrite355.0ms (5.7%)

simplify29.0ms (0.5%)

eval41.0ms (0.7%)

prune32.0ms (0.5%)

simplify120.0ms (1.9%)

localize79.0ms (1.3%)

series17.0ms (0.3%)

rewrite510.0ms (8.2%)

simplify178.0ms (2.9%)

eval189.0ms (3%)

prune79.0ms (1.3%)

simplify181.0ms (2.9%)

localize75.0ms (1.2%)

series2.0ms (0%)

rewrite293.0ms (4.7%)

simplify234.0ms (3.7%)

eval118.0ms (1.9%)

prune57.0ms (0.9%)

simplify207.0ms (3.3%)

localize163.0ms (2.6%)

series7.0ms (0.1%)

rewrite655.0ms (10.5%)

simplify208.0ms (3.3%)

eval145.0ms (2.3%)

prune149.0ms (2.4%)

regimes15.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch33.0ms (0.5%)

bsearch46.0ms (0.7%)

simplify21.0ms (0.3%)

soundness1.3s (20.7%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	15
1	26	13
2	59	12
3	117	12
4	262	12
5	424	12
6	498	12
7	518	12
8	535	12
9	549	12
10	553	12
0	5	4
1	11	4
2	14	4
0	14	4

Iter	Nodes	Cost
0	15	79
1	41	79
2	87	79
3	195	79
4	358	79
5	421	79
6	528	79
7	641	79
8	753	79
9	916	79
10	945	79
0	945	79