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)

sample762.0ms (26.9%)

Results

596.0ms	8207×	0	valid
3.0ms	25×	2	valid
2.0ms	24×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 67.0ms (48.4% of total)

ival-sub: 55.0ms (39.7% of total)

const: 13.0ms (9.4% of total)

backward-pass: 3.0ms (2.2% of total)

Bogosity

preprocess25.0ms (0.9%)

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)

explain44.0ms (1.6%)

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

22.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

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

ival-mult: 4.0ms (49.9% of total)

ival-sub: 3.0ms (37.5% of total)

const: 1.0ms (12.5% 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)

simplify5.0ms (0.2%)

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)

localize20.0ms (0.7%)

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

14.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-mult: 2.0ms (49.2% of total)

ival-sub: 1.0ms (24.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

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)

rewrite392.0ms (13.9%)

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)))

simplify32.0ms (1.1%)

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 (1.4%)

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

prune65.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	279	3	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	279	4	283

Accuracy

100.0%

Counts

283 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	51.2%	(*.f64 #s(literal 116 binary64) x)
▶	51.4%	#s(literal -16 binary64)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 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 #s(literal 116 binary64) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	9	13
0	9	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize26.0ms (0.9%)

Localize:

Found 2 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 #s(literal 116 binary64) x)

Results

17.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (41.7% of total)

compiled-spec: 4.0ms (41.7% of total)

ival-add: 2.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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)))>

Calls

6 calls:

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

rewrite392.0ms (13.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4122×	`/-lowering-/.f32`
4122×	`/-lowering-/.f64`
3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
1716×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	23	7
2	157	7
3	1403	7
0	8167	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 116 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 116 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 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 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.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 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))) (/.f64 (+.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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) #s(literal 256 binary64)) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64)))))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 binary64)))))) (/.f64 (.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 binary64)))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 13456 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 13456 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 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 (/.f64 (.f64 #s(literal 116 binary64) x) #s(literal 256 binary64)) #s(literal -1/16 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 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) (/.f64 (.f64 #s(literal 116 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 13456 binary64)) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (.f64 #s(literal 116 binary64) x) (/.f64 (.f64 #s(literal 116 binary64) x) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 #s(literal 13456 binary64) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 13456 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (.f64 #s(literal 116 binary64) (.f64 x x)) (/.f64 #s(literal 116 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (.f64 x #s(literal 13456 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #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 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))))
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (-.f64 #s(literal 0 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 (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal -4096 binary64)) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)))
(/.f64 (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.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 #s(literal 3802961274698203136 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -68719476736 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 6393430016 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64)) (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 (.f64 #s(literal 3802961274698203136 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) #s(literal -68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) #s(literal -16777216 binary64))))
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simplify27.0ms (1%)

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
(* 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)))

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

eval375.0ms (13.3%)

Compiler: Compiled 6961 to 553 computations (92.1% saved)

prune74.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	213	4	217

Accuracy

100.0%

Counts

217 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	51.2%	(*.f64 #s(literal 116 binary64) x)
✓	51.4%	#s(literal -16 binary64)

Compiler

Compiled 31 to 22 computations (29% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

2.0ms	x
2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	(-.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)

regimes7.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

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
99.0%	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
51.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.001806120491402e-10	14.719811443205586
14.0ms	-23950092341.379395	-2.0829890977466657e-16

Results

14.0ms

336×

valid

Compiler

Compiled 178 to 155 computations (12.9% saved)

Precisions

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

ival-mult: 3.0ms (61.8% of total)

ival-sub: 2.0ms (41.2% of total)

const: 1.0ms (20.6% of total)

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

simplify9.0ms (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	14	23
1	21	23
2	26	23
3	28	23
4	29	23

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 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 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 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 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 1261007895663739/9007199254740992 binary64)) #s(literal -16 binary64) (.f64 x #s(literal 116 binary64))))
#s(literal -16 binary64)

soundness461.0ms (16.3%)

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	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	5	7
1	26	7
2	160	7
3	1341	7
0	8636	7

Stop Event

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

Compiler

Compiled 39 to 24 computations (38.5% saved)

preprocess28.0ms (1%)

Compiler: Compiled 64 to 36 computations (43.8% saved)

Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

sample762.0ms (26.9%)

preprocess25.0ms (0.9%)

explain44.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize20.0ms (0.7%)

series2.0ms (0.1%)

rewrite392.0ms (13.9%)

simplify32.0ms (1.1%)

eval41.0ms (1.4%)

prune65.0ms (2.3%)

simplify5.0ms (0.2%)

localize26.0ms (0.9%)

series0.0ms (0%)

rewrite392.0ms (13.8%)

simplify27.0ms (1%)

eval375.0ms (13.3%)

prune74.0ms (2.6%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch28.0ms (1%)

simplify9.0ms (0.3%)

soundness461.0ms (16.3%)

preprocess28.0ms (1%)

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

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

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

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