Metrics for Numeric.Interval.Internal:scale from intervals-0.7.1, B

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-div: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample1.1s (64.2%)

Results

792.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 314.0ms

ival-div: 155.0ms (49.3% of total)

ival-mult: 145.0ms (46.1% of total)

const: 11.0ms (3.5% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess56.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

398×	`fnmadd-define`
322×	`fma-define`
204×	`fmsub-define`
196×	`fnmsub-define`
174×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	40	32
2	95	30
3	209	30
4	431	30
5	905	30
6	1118	30
0	5	5
1	8	5
2	11	5
3	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) 2)

Outputs
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))

Call 2

Inputs
(/ (* x y) 2)
(/ (* (neg x) y) 2)
(/ (* x (neg y)) 2)
(neg (/ (* (neg x) y) 2))
(neg (/ (* x (neg y)) 2))
(/ (* y x) 2)

Outputs
(/ (* x y) 2)
(* x (* y 1/2))
(/ (* (neg x) y) 2)
(* x (* y -1/2))
(/ (* x (neg y)) 2)
(* x (* y -1/2))
(neg (/ (* (neg x) y) 2))
(* x (* y 1/2))
(neg (/ (* x (neg y)) 2))
(* x (* y 1/2))
(/ (* y x) 2)
(* x (* y 1/2))

Symmetry

(negabs x)

(negabs y)

(sort x y)

explain56.0ms (3.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`

Results

39.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-mult: 5.0ms (52.8% of total)

ival-div: 4.0ms (42.2% of total)

const: 1.0ms (10.6% 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 (*.f64 x y) #s(literal 2 binary64))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	11	11
3	12	11
0	12	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) 2)
(* x y)
x
y
2

Outputs
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
x
y
2
#s(literal 2 binary64)

localize25.0ms (1.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x y)

Results

19.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (42.7% of total)

ival-mult: 2.0ms (42.7% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ (* x y) 2)>
#<alt (* x y)>

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)
1.0ms	x	@	inf	(/ (* x y) 2)
0.0ms	y	@	inf	(/ (* x y) 2)
0.0ms	y	@	-inf	(/ (* x y) 2)

rewrite249.0ms (14.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3452×	`-lowering-.f32`
3452×	`-lowering-.f64`
2432×	`/-lowering-/.f32`
2432×	`/-lowering-/.f64`
1306×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	18	8
2	62	8
3	246	8
4	1238	8
0	8406	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 526

Calls

Call 1

Inputs
(/ (* x y) 2)
(* x y)

Outputs
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64))) (/.f64 (.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x y) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y))))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x y) #s(literal -2 binary64))) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y))) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y))))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 2 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (.f64 x (.f64 y (.f64 x y))) (neg.f64 (.f64 (*.f64 x y) #s(literal -2 binary64))))
(/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x y) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal -1 binary64) (.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -8 binary64))) (.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 (.f64 x y) #s(literal -2 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64))) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -2 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -2 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 x y) #s(literal -2 binary64)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 x (.f64 y (*.f64 x y))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (*.f64 x y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)))) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal 1/2 binary64)) (.f64 x (.f64 y (*.f64 x y))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/2 binary64)) (*.f64 x y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) #s(literal 1 binary64)) (.f64 x (.f64 y (.f64 x y))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) #s(literal 1 binary64)) (.f64 x y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 x #s(literal -2 binary64))) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 x #s(literal -2 binary64))) y)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 y #s(literal -2 binary64))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 y #s(literal -2 binary64))) x)
(pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
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(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (neg.f64 (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (*.f64 y y)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 y y)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 x (.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) y))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 y (.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (neg.f64 (.f64 y (.f64 x y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (neg.f64 (.f64 x (.f64 x y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x y))))
(.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))) (.f64 x (.f64 y (.f64 x y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x y))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	192
1	9	192
2	16	192
3	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval56.0ms (3.3%)

Compiler: Compiled 9922 to 1326 computations (86.6% saved)

prune96.0ms (5.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	574	0	574
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	574	1	575

Accuracy

100.0%

Counts

575 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))

Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess40.0ms (2.4%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

Numeric.Interval.Internal:scale from intervals-0.7.1, B

analyze0.0ms (0%)

sample1.1s (64.2%)

preprocess56.0ms (3.3%)

explain56.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.3%)

localize25.0ms (1.5%)

series4.0ms (0.2%)

rewrite249.0ms (14.7%)

simplify10.0ms (0.6%)

eval56.0ms (3.3%)

prune96.0ms (5.7%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

preprocess40.0ms (2.4%)

end0.0ms (0%)

Profiling