Metrics for Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

sample613.0ms (26.9%)

Results

413.0ms	8252×	0	valid
0.0ms	3×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-sub: 196.0ms (94% of total)

const: 9.0ms (4.3% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess82.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

600×	`sum5-define`
600×	`fnmadd-define`
588×	`sum3-define`
544×	`fnmsub-define`
544×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	42	31
2	143	30
3	453	30
4	1252	30
5	2205	30
6	2549	30
7	2660	30
8	2664	30
0	5	5
1	13	5
2	30	5
3	70	5
4	168	5
5	427	5
6	793	5
7	1055	5
8	1164	5
9	1168	5
0	1168	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (- 1 x) y)

Outputs
(- (- 1 x) y)
(-.f64 #s(literal 1 binary64) (+.f64 x y))

Call 2

Inputs
(- (- 1 x) y)
(- (- 1 (neg x)) y)
(- (- 1 x) (neg y))
(neg (- (- 1 (neg x)) y))
(neg (- (- 1 x) (neg y)))
(- (- 1 y) x)

Outputs
(- (- 1 x) y)
(- 1 (+ x y))
(- (- 1 (neg x)) y)
(+ x (- 1 y))
(- (- 1 x) (neg y))
(+ 1 (- y x))
(neg (- (- 1 (neg x)) y))
(+ y (- -1 x))
(neg (- (- 1 x) (neg y)))
(+ x (- -1 y))
(- (- 1 y) x)
(- 1 (+ x y))

Symmetry

(sort x y)

explain74.0ms (3.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
-	-	`y`

Results

43.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-sub: 6.0ms (92.9% of total)

const: 1.0ms (15.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 #s(literal 1 binary64) (+.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (+.f64 x y))

Rules

284×	`fnmadd-define`
244×	`fmsub-define`
240×	`fma-lowering-fma.f32`
240×	`fnmsub-define`
240×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	12	11
2	24	11
3	52	11
4	130	11
5	262	11
6	575	11
7	991	11
8	1148	11
9	1188	11
0	1188	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (+ x y))
1
(+ x y)
x
y

Outputs
(- 1 (+ x y))
(-.f64 #s(literal 1 binary64) (+.f64 x y))
1
#s(literal 1 binary64)
(+ x y)
(+.f64 x y)
x
y

localize19.0ms (0.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)

Results

13.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (58.8% of total)

ival-sub: 1.0ms (29.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (- 1 (+ x y))>
#<alt (+ x y)>

Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* -1 x)) y)>
#<alt (- (+ 1 (* -1 x)) y)>
#<alt (- (+ 1 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) (+ 1 (/ y x))))>
#<alt (* x (- (/ 1 x) (+ 1 (/ y x))))>
#<alt (* x (- (/ 1 x) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* -1 y)) x)>
#<alt (- (+ 1 (* -1 y)) x)>
#<alt (- (+ 1 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) (+ 1 (/ x y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ x y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- 1 (+ x y))
0.0ms	y	@	inf	(- 1 (+ x y))
0.0ms	x	@	-inf	(+ x y)
0.0ms	x	@	-inf	(- 1 (+ x y))
0.0ms	x	@	0	(- 1 (+ x y))

rewrite284.0ms (12.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2920×	`-lowering-.f32`
2920×	`-lowering-.f64`
2486×	`/-lowering-/.f32`
2486×	`/-lowering-/.f64`
1908×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	37	8
2	341	8
3	6241	8
0	8434	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(- 1 (+ x y))
(+ x y)

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (neg.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 #s(literal 1 binary64) (+.f64 x y))
(-.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 x y) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 y y) (+.f64 y (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 y (.f64 y y))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) (+.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y))) (neg.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y))))) (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (+.f64 x y)))))))))
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(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))

simplify149.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1716×	`sum4-define`
1488×	`fmsub-define`
1484×	`fnmsub-define`
1424×	`fma-lowering-fma.f32`
1424×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	164
1	141	164
2	404	164
3	1256	164
4	4327	164
0	8149	164

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(- (+ 1 (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(- (+ 1 (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(- (+ 1 (* -1 y)) x)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(- (+ 1 (* -1 y)) x)
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 #s(literal 1 binary64) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval22.0ms (1%)

Compiler: Compiled 4281 to 462 computations (89.2% saved)

prune20.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Accuracy

100.0%

Counts

189 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 #s(literal 1 binary64) (+.f64 x y))
▶	59.9%	(-.f64 #s(literal 1 binary64) y)
▶	61.3%	(-.f64 #s(literal 1 binary64) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)

Rules

64×	`sum3-define`
48×	`+-lowering-+.f64`
48×	`+-lowering-+.f32`
36×	`--lowering--.f32`
36×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	11	10
2	18	10
3	29	10
4	43	10
5	67	10
6	97	10
7	120	10
8	142	10
9	144	10
0	144	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 x)
1
x
(- 1 y)
1
y

Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y

localize22.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)

Results

16.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-sub: 3.0ms (75.1% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- 1 x)>
#<alt (- 1 y)>

Outputs
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(- 1 y)
0.0ms	x	@	0	(- 1 x)
0.0ms	x	@	inf	(- 1 x)
0.0ms	y	@	inf	(- 1 y)
0.0ms	x	@	-inf	(- 1 x)

rewrite324.0ms (14.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3400×	`/-lowering-/.f32`
3400×	`/-lowering-/.f64`
2756×	`-lowering-.f32`
2756×	`-lowering-.f64`
1320×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	34	6
2	246	6
3	2089	6
0	10117	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 320

Calls

Call 1

Inputs
(- 1 x)
(- 1 y)

Outputs
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))))

simplify35.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

272×	`fma-lowering-fma.f32`
272×	`fma-lowering-fma.f64`
232×	`fnmadd-define`
224×	`fnmsub-define`
224×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	47	64
2	119	64
3	237	64
4	374	64
5	670	64
6	950	64
7	1054	64
0	1054	64

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

eval41.0ms (1.8%)

Compiler: Compiled 9728 to 892 computations (90.8% saved)

prune44.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	343	4	347

Accuracy

100.0%

Counts

347 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 #s(literal 1 binary64) (+.f64 x y))
✓	59.9%	(-.f64 #s(literal 1 binary64) y)
✓	61.3%	(-.f64 #s(literal 1 binary64) x)
▶	22.4%	#s(literal 1 binary64)

Compiler

Compiled 20 to 16 computations (20% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	3	1
0	3	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
1

Outputs
1
#s(literal 1 binary64)

localize9.0ms (0.4%)

Results

6.0ms

256×

valid

Compiler

Compiled 4 to 4 computations (0% saved)

Precisions

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

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite9.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune34.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 #s(literal 1 binary64) (+.f64 x y))
✓	59.9%	(-.f64 #s(literal 1 binary64) y)
✓	61.3%	(-.f64 #s(literal 1 binary64) x)
✓	22.4%	#s(literal 1 binary64)

Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes10.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)

Outputs
(-.f64 #s(literal 1 binary64) (+.f64 x y))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)

Outputs
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
92.4%	2	`x`
91.4%	2	`y`
92.4%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)

Outputs
(-.f64 #s(literal 1 binary64) x)

Calls

3 calls:

5.0ms	x
2.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
61.3%	1	`y`
61.3%	1	`x`
61.3%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
22.4%	1	`y`
22.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch6.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	431951.0536375332	2042222.3584962639

Results

3.0ms

96×

valid

Compiler

Compiled 72 to 57 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 1.0ms (146% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`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	10	21
1	20	21
2	32	21
3	40	21
4	43	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (+.f64 x y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1950000 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (+.f64 x y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1950000 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

soundness367.0ms (16.1%)

Rules

1716×	`sum4-define`
1488×	`fmsub-define`
1484×	`fnmsub-define`
1424×	`fma-lowering-fma.f32`
1424×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	13	5
2	30	5
3	70	5
4	168	5
5	427	5
6	793	5
7	1055	5
8	1164	5
9	1168	5
0	1168	5
0	20	82
1	47	64
2	119	64
3	237	64
4	374	64
5	670	64
6	950	64
7	1054	64
0	1054	64
0	43	164
1	141	164
2	404	164
3	1256	164
4	4327	164
0	8149	164

Stop Event

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

Compiler

Compiled 81 to 54 computations (33.3% saved)

preprocess34.0ms (1.5%)

Remove: (sort x y)
Compiler: Compiled 88 to 50 computations (43.2% saved)

Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

analyze0.0ms (0%)

sample613.0ms (26.9%)

preprocess82.0ms (3.6%)

explain74.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (1.5%)

localize19.0ms (0.8%)

series2.0ms (0.1%)

rewrite284.0ms (12.5%)

simplify149.0ms (6.5%)

eval22.0ms (1%)

prune20.0ms (0.9%)

simplify9.0ms (0.4%)

localize22.0ms (1%)

series1.0ms (0%)

rewrite324.0ms (14.2%)

simplify35.0ms (1.5%)

eval41.0ms (1.8%)

prune44.0ms (1.9%)

simplify4.0ms (0.2%)

localize9.0ms (0.4%)

series0.0ms (0%)

rewrite9.0ms (0.4%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune34.0ms (1.5%)

regimes10.0ms (0.4%)

regimes6.0ms (0.3%)

regimes9.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch6.0ms (0.3%)

simplify10.0ms (0.4%)

soundness367.0ms (16.1%)

preprocess34.0ms (1.5%)

end0.0ms (0%)

Profiling