Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, B

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-div: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample505.0ms (32.2%)

Results

338.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-add: 72.0ms (47.3% of total)

ival-div: 64.0ms (42% of total)

const: 14.0ms (9.2% of total)

backward-pass: 3.0ms (2% of total)

Bogosity

preprocess32.0ms (2%)

Algorithm

2×	egg-herbie

Rules

240×	`fnmsub-define`
240×	`fmsub-define`
240×	`fnmadd-define`
206×	`fmm-def`
116×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)

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

Call 2

Inputs
(/ (+ x 16) 116)
(/ (+ (neg x) 16) 116)
(neg (/ (+ (neg x) 16) 116))

Outputs
(/ (+ x 16) 116)
(fnmsub x -1/116 -4/29)
(/ (+ (neg x) 16) 116)
(fnmsub x 1/116 -4/29)
(neg (/ (+ (neg x) 16) 116))
(fnmsub x -1/116 4/29)

explain43.0ms (2.7%)

FPErrors

Click to see full error table

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

Results

27.0ms

512×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

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

ival-div: 4.0ms (48.4% of total)

ival-add: 3.0ms (36.3% of total)

const: 1.0ms (12.1% of total)

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)
x
16
116

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

localize19.0ms (1.2%)

Localize:

Found 2 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-div: 3.0ms (54.5% of total)

ival-add: 2.0ms (36.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ (+ x 16) 116)>
#<alt (+ x 16)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>

Calls

6 calls:

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

rewrite446.0ms (28.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5176×	`/-lowering-/.f32`
5176×	`/-lowering-/.f64`
3506×	`-lowering-.f32`
3506×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	179	8
3	1496	7
0	8614	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 428

Calls

Call 1

Inputs
(/ (+ x 16) 116)
(+ x 16)

Outputs
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 256 binary64))) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64)))))))
(-.f64 (/.f64 #s(literal 256 binary64) (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (.f64 x x) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (*.f64 x x) #s(literal 256 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(neg.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))) #s(literal 68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (.f64 (-.f64 #s(literal 256 binary64) (.f64 x x)) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (.f64 (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) (-.f64 #s(literal -16 binary64) x)))
(/.f64 (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
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(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal -16 binary64))) (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (.f64 x #s(literal 16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (+.f64 (.f64 x x) #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x x) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (.f64 x #s(literal 256 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 65536 binary64)) (.f64 x (*.f64 x #s(literal 256 binary64))))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x x) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 (.f64 x x) #s(literal -256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
64×	`fma-define`
52×	`fma-lowering-fma.f32`
52×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	42	73
2	81	73
3	175	73
4	177	73
5	184	73
6	189	73
7	189	73
0	189	73

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))

eval75.0ms (4.8%)

Compiler: Compiled 11946 to 1307 computations (89.1% saved)

prune64.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	450	2	452
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	450	3	453

Accuracy

100.0%

Counts

453 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	49.3%	(/.f64 x #s(literal 116 binary64))
▶	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	4	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
4/29
(/ x 116)
x
116

Outputs
4/29
#s(literal 4/29 binary64)
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)

localize21.0ms (1.3%)

Localize:

Found 1 expressions of interest:

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

Results

15.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (57.8% of total)

ival-div: 2.0ms (28.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ x 116)>

Outputs
#<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

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ x 116)
1.0ms	x	@	-inf	(/ x 116)
0.0ms	x	@	0	(/ x 116)

rewrite172.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1932×	`/-lowering-/.f32`
1932×	`/-lowering-/.f64`
1454×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	39	3
3	145	3
4	656	3
5	6469	3
0	8189	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(/ x 116)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 0 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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 13456 binary64) (.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -116 binary64) (.f64 x x))) (/.f64 x #s(literal 116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -116 binary64))) (/.f64 x #s(literal 116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64))) (/.f64 x #s(literal 116 binary64)))
(neg.f64 (/.f64 x #s(literal 116 binary64)))
(/.f64 x #s(literal 116 binary64))
(/.f64 x #s(literal -116 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 116 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 13456 binary64)) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 (*.f64 x x) #s(literal 13456 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/116 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 116 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -116 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 116 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -116 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 116 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -116 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 116 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 #s(literal -116 binary64) (*.f64 x x))))
(/.f64 (.f64 x x) (.f64 x #s(literal 116 binary64)))
(/.f64 (.f64 x x) (.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal 116 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal -116 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 116 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -116 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (*.f64 x #s(literal 116 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (*.f64 x #s(literal -116 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 116 binary64) x)))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (/.f64 (*.f64 x x) #s(literal 13456 binary64)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (/.f64 x #s(literal 116 binary64)))
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(.f64 (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/116 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal -1/116 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(.f64 (/.f64 #s(literal -1/116 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1/116 binary64) (.f64 x x)))
(.f64 (.f64 (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64))) x)
(.f64 (.f64 (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x #s(literal 116 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/116 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1/116 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 116 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -116 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 116 binary64) x))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 (.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1/2 binary64)))

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 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
(* 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)

eval32.0ms (2%)

Compiler: Compiled 2815 to 450 computations (84% saved)

prune46.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	248	3	251

Accuracy

100.0%

Counts

251 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	49.3%	(/.f64 x #s(literal 116 binary64))
✓	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

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

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))

Outputs
(/.f64 x #s(literal 116 binary64))
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
53.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.1483908409299783e-8	96.33556320185215
12.0ms	-3638096.0539247333	-2.4902133193106892

Results

13.0ms

288×

valid

Compiler

Compiled 154 to 134 computations (13% saved)

Precisions

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

ival-div: 2.0ms (45.2% of total)

ival-add: 2.0ms (45.2% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))

#s(literal 4/29 binary64)

Outputs

(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))

#s(literal 4/29 binary64)

soundness14.0ms (0.9%)

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
64×	`fma-define`
52×	`fma-lowering-fma.f32`
52×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	42	73
2	81	73
3	175	73
4	177	73
5	184	73
6	189	73
7	189	73
0	189	73

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess25.0ms (1.6%)

Compiler: Compiled 56 to 34 computations (39.3% saved)

Data.Colour.CIE:cieLAB from colour-2.3.3, B

analyze0.0ms (0%)

sample505.0ms (32.2%)

preprocess32.0ms (2%)

explain43.0ms (2.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify4.0ms (0.3%)

localize19.0ms (1.2%)

series1.0ms (0.1%)

rewrite446.0ms (28.4%)

simplify12.0ms (0.8%)

eval75.0ms (4.8%)

prune64.0ms (4.1%)

simplify4.0ms (0.2%)

localize21.0ms (1.3%)

series3.0ms (0.2%)

rewrite172.0ms (11%)

simplify7.0ms (0.4%)

eval32.0ms (2%)

prune46.0ms (2.9%)

regimes5.0ms (0.3%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

bsearch26.0ms (1.6%)

simplify7.0ms (0.5%)

soundness14.0ms (0.9%)

preprocess25.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	9	17
1	22	15
2	38	15
3	83	15
4	208	13
5	421	13
6	653	12
7	748	12
8	805	12
9	850	12
10	886	12
11	898	12
0	5	5
1	6	5
0	6	5