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)

sample689.0ms (27.7%)

Results

451.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 84.0ms (48.4% of total)

ival-add: 71.0ms (40.9% of total)

const: 15.0ms (8.6% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess30.0ms (1.2%)

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)

explain93.0ms (3.7%)

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

60.0ms

512×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (44.8% of total)

ival-add: 4.0ms (44.8% of total)

const: 1.0ms (11.2% 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 16 binary64)) #s(literal 116 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.2%)

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)

localize47.0ms (1.9%)

Localize:

Found 2 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-div: 2.0ms (45.1% of total)

ival-add: 2.0ms (45.1% of total)

const: 1.0ms (22.5% 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)

rewrite371.0ms (14.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5002×	`/-lowering-/.f32`
5002×	`/-lowering-/.f64`
2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	31	8
2	180	8
3	1503	7
0	8190	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 402

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 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #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 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 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 (.f64 x (.f64 x x)) (.f64 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 (.f64 x (.f64 x x)) (.f64 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 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 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) (.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)))) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) (neg.f64 (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 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 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (*.f64 x 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 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (*.f64 x x) #s(literal 256 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 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64))) #s(literal 1 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 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 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 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 #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 (-.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 #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 (.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)) (.f64 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 (.f64 x (.f64 x x)) (.f64 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 256 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x #s(literal 116 binary64)) #s(literal -1856 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 116 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x x)) #s(literal 4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -1856 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 x #s(literal -16 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) #s(literal 116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal -256 binary64)) #s(literal 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 #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))))
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(.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))))
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simplify16.0ms (0.7%)

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))

eval100.0ms (4%)

Compiler: Compiled 11040 to 1261 computations (88.6% saved)

prune90.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	423	3	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	423	4	427

Accuracy

100.0%

Counts

427 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	51.1%	(/.f64 x #s(literal 116 binary64))
▶	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
▶	50.9%	#s(literal 4/29 binary64)

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 x #s(literal 116 binary64))
✓	cost-diff	(/.f64 x #s(literal -116 binary64))
✓	cost-diff	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))

Rules

40×	`sum3-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`fma-lowering-fma.f32`
24×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	9	17
2	17	17
3	25	17
4	38	17
5	55	16
6	83	16
7	105	16
8	125	16
9	129	16
0	129	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
4/29
(- 4/29 (/ x -116))
4/29
(/ x -116)
x
-116
(/ x 116)
x
116

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

localize40.0ms (1.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal -116 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))

Results

30.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-div: 5.0ms (45.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (36.7% of total)

ival-sub: 1.0ms (9.2% of total)

const: 1.0ms (9.2% of total)

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

series26.0ms (1.1%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- 4/29 (/ x -116))>
#<alt (/ x -116)>
#<alt (/ x 116)>

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 (* -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)>
#<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

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(/ x -116)
0.0ms	x	@	0	(/ x 116)
0.0ms	x	@	-inf	(/ x -116)
0.0ms	x	@	0	(- 4/29 (/ x -116))
0.0ms	x	@	inf	(- 4/29 (/ x -116))

rewrite202.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2462×	`-lowering-.f32`
2462×	`-lowering-.f64`
1364×	`fma-lowering-fma.f32`
1364×	`fma-lowering-fma.f64`
1226×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	40	11
2	257	10
3	3924	10
0	8760	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 184

Calls

Call 1

Inputs
(- 4/29 (/ x -116))
(/ x -116)
(/ x 116)

Outputs
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))))
(+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))))
(-.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1 binary64) #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 64/24389 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 4096/594823321 binary64) (.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)) (.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))))))) (+.f64 #s(literal 256/707281 binary64) (.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)) (-.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)) #s(literal 16/841 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))))
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x)))))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (neg.f64 (/.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x)))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(neg.f64 (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64)))))
(/.f64 (+.f64 #s(literal -64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)) #s(literal -16/841 binary64)))
(/.f64 (+.f64 #s(literal -16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))) (+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -4/29 binary64)))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -1/841 binary64)))))
(/.f64 (-.f64 #s(literal 262144/14507145975869 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -3802961274698203136 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) #s(literal 4096/594823321 binary64))))
(/.f64 (+.f64 #s(literal 4096/594823321 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))))
(/.f64 (+.f64 #s(literal 4096/594823321 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64))) (.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x)))))))
(/.f64 (+.f64 #s(literal 256/707281 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x)))))
(/.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 x (/.f64 #s(literal 13456 binary64) x)))) (*.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 262144/14507145975869 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -3802961274698203136 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64)))) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal 4096/594823321 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal 4096/594823321 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 256/707281 binary64) (.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 256/707281 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal 13456 binary64) x))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
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(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/116 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1/116 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -116 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -116 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -116 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 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 (/.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))))))
(/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (/.f64 x #s(literal -116 binary64)))
(/.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 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -116 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 13456 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x #s(literal -1/116 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/116 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/116 binary64) x)
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/116 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/116 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1/116 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
40×	`fma-define`
28×	`fma-lowering-fma.f32`
28×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	124
1	28	115
2	49	115
3	71	115
4	71	115
5	90	115
6	98	115
7	104	115
8	106	115
0	106	115

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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

eval51.0ms (2.1%)

Compiler: Compiled 3245 to 355 computations (89.1% saved)

prune45.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	220	4	224

Accuracy

100.0%

Counts

224 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	51.1%	(/.f64 x #s(literal 116 binary64))
✓	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
✓	50.9%	#s(literal 4/29 binary64)

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes6.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))
(-.f64 #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 x #s(literal 16 binary64))
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 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

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.9%)

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:

22.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
50.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch28.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.553070242342735e-8	943.0873923284815
11.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

14.0ms

304×

valid

Compiler

Compiled 162 to 141 computations (13% saved)

Precisions

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

ival-div: 3.0ms (58.3% of total)

ival-add: 2.0ms (38.9% of total)

const: 1.0ms (19.4% of total)

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	21	24
2	30	24
3	36	24
4	41	24
5	43	24

Stop Event

1×

saturated

Calls

Call 1

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

soundness362.0ms (14.6%)

Rules

5002×	`/-lowering-/.f32`
5002×	`/-lowering-/.f64`
2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (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
0	5	8
1	31	8
2	180	8
3	1503	7
0	8190	7

Stop Event

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

preprocess227.0ms (9.1%)

Compiler: Compiled 66 to 40 computations (39.4% saved)

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

analyze0.0ms (0%)

sample689.0ms (27.7%)

preprocess30.0ms (1.2%)

explain93.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize47.0ms (1.9%)

series1.0ms (0.1%)

rewrite371.0ms (14.9%)

simplify16.0ms (0.7%)

eval100.0ms (4%)

prune90.0ms (3.6%)

simplify11.0ms (0.4%)

localize40.0ms (1.6%)

series26.0ms (1.1%)

rewrite202.0ms (8.1%)

simplify10.0ms (0.4%)

eval51.0ms (2.1%)

prune45.0ms (1.8%)

regimes6.0ms (0.3%)

regimes2.0ms (0.1%)

regimes22.0ms (0.9%)

regimes2.0ms (0.1%)

bsearch28.0ms (1.1%)

simplify8.0ms (0.3%)

soundness362.0ms (14.6%)

preprocess227.0ms (9.1%)

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	12	124
1	28	115
2	49	115
3	71	115
4	71	115
5	90	115
6	98	115
7	104	115
8	106	115
0	106	115

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	12	124
1	28	115
2	49	115
3	71	115
4	71	115
5	90	115
6	98	115
7	104	115
8	106	115
0	106	115

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	12	124
1	28	115
2	49	115
3	71	115
4	71	115
5	90	115
6	98	115
7	104	115
8	106	115
0	106	115