Metrics for Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Results

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample3.4s (57.3%)

Results

3.3s	8223×	256	valid
6.0ms	32×	256	infinite
1.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-log, time spent: 550.0ms, 50.0% of total-time

Operation ival-mult, time spent: 320.0ms, 29.0% of total-time

Operation ival-sub, time spent: 217.0ms, 20.0% of total-time

Operation const, time spent: 15.0ms, 1.0% of total-time

Bogosity

preprocess694.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-neg`
480×	`fma-define`
184×	`distribute-rgt-in`
155×	`sub-neg`
146×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(log.f64 y)`
-	-	`y`
-	-	`(-.f64 (*.f64 x (log.f64 y)) z)`
-	-	`(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)`
-	-	`(*.f64 x (log.f64 y))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	429
1	98	397
2	292	377
3	884	373
4	1945	373
5	3134	373
6	3689	373
7	3945	373
8	3962	373
9	3964	373
10	3964	373
11	4101	373
12	4101	373

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) z) (neg.f64 y))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) (neg.f64 z)) y)
(neg.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) z) y))
(neg.f64 (-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) z) (neg.f64 y)))
(neg.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) (neg.f64 z)) y))
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x)
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y)
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z)

Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))
(-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) z) y)
(-.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) y)
(-.f64 (neg.f64 z) (fma.f64 x (log.f64 y) y))
(-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) z) (neg.f64 y))
(-.f64 (*.f64 x (log.f64 (neg.f64 y))) (-.f64 z y))
(fma.f64 x (log.f64 (neg.f64 y)) (-.f64 y z))
(-.f64 (fma.f64 x (log.f64 (neg.f64 y)) y) z)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) (neg.f64 z)) y)
(-.f64 (fma.f64 x (log.f64 y) z) y)
(neg.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) z) y))
(neg.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) z) y))
(+.f64 (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z))) y)
(+.f64 y (fma.f64 x (log.f64 y) z))
(neg.f64 (-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) z) (neg.f64 y)))
(neg.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) (-.f64 z y)))
(-.f64 (-.f64 z (*.f64 x (log.f64 (neg.f64 y)))) y)
(-.f64 z (fma.f64 x (log.f64 (neg.f64 y)) y))
(neg.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) (neg.f64 z)) y))
(+.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) y)
(-.f64 y (fma.f64 x (log.f64 y) z))
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x)
(-.f64 (*.f64 y (log.f64 x)) (+.f64 z x))
(-.f64 (*.f64 y (log.f64 x)) (+.f64 x z))
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y)
(-.f64 (*.f64 (log.f64 y) z) (+.f64 x y))
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z)
(-.f64 (*.f64 x (log.f64 z)) (+.f64 y z))
(fma.f64 x (log.f64 z) (-.f64 (neg.f64 y) z))

Results

Compiler

Compiled 65 to 23 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

Operation ival-log, time spent: 15.0ms, 46.0% of total-time

Operation ival-sub, time spent: 9.0ms, 28.0% of total-time

Operation ival-mult, time spent: 8.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

eval1.0ms (0%)

Results

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))

Results

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize64.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 x (log.f64 y))

Results

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-log, time spent: 8.0ms, 40.0% of total-time

Operation ival-mult, time spent: 7.0ms, 35.0% of total-time

Operation ival-add, time spent: 3.0ms, 15.0% of total-time

Operation ival-sub, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series333.0ms (5.6%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (*.f64 x (log.f64 y))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>

Calls

6 calls:

Time	Variable		Point	Expression
167.0ms	y	@	0	(* x (log y))
91.0ms	y	@	-inf	(* x (log y))
63.0ms	x	@	0	(* x (log y))
10.0ms	y	@	inf	(* x (log y))
0.0ms	x	@	inf	(* x (log y))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite674.0ms (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

314×	`unpow-prod-down`
312×	`log1p-expm1-u`
312×	`expm1-log1p-u`
299×	`add-exp-log`
286×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	81	17
2	882	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 x (log.f64 y))

Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64)))))
(pow.f64 (log.f64 (pow.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (pow.f64 y x)))
(log.f64 (pow.f64 y x))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 y x))))
(log1p.f64 (-.f64 (pow.f64 y x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-neg`
613×	`prod-exp`
524×	`distribute-lft-out`
418×	`cancel-sign-sub-inv`
299×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	891
1	159	869
2	410	819
3	1481	819
4	3307	815

Stop Event

1×	node limit

Counts

31 → 35

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64)))))
(pow.f64 (log.f64 (pow.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (pow.f64 y x)))
(log.f64 (pow.f64 y x))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 y x))))
(log1p.f64 (-.f64 (pow.f64 y x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 x (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 y x)))
(log.f64 (pow.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 y x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y x))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64))
(log.f64 (pow.f64 y x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 y x))) (+.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (log.f64 (pow.f64 y x)) #s(literal 1 binary64))
(log.f64 (pow.f64 y x))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) #s(literal 3 binary64))
(log.f64 (pow.f64 y x))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (pow.f64 y x))
(pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 y x))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) #s(literal 2 binary64))
(log.f64 (pow.f64 y x))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 y x)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 y x))
(fabs.f64 (log.f64 (pow.f64 y x)))
(log.f64 (pow.f64 y x))
(log.f64 (pow.f64 y x))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64)))
(log.f64 (pow.f64 y x))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 y x))))
(log.f64 (pow.f64 y x))
(log1p.f64 (-.f64 (pow.f64 y x) #s(literal 1 binary64)))
(log.f64 (pow.f64 y x))
(exp.f64 (log.f64 (log.f64 (pow.f64 y x))))
(log.f64 (pow.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 3 binary64)))
(log.f64 (pow.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (pow.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 y x))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval14.0ms (0.2%)

Results

Compiler

Compiled 532 to 225 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune86.0ms (1.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	1	36

Accuracy

99.9%

Counts

36 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))

Results

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes38.0ms (0.6%)

Accuracy

Total -0.0b remaining (-4.2%)

Threshold costs -0b (-4.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Outputs
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))

Calls

4 calls:

30.0ms	x
3.0ms	z
3.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)`

Results

Compiler

Compiled 23 to 16 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	18	35
2	27	35
3	35	35
4	40	35
5	42	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))

Outputs
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))

Results

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

soundness512.0ms (8.6%)

Rules

1032×	`fma-neg`
480×	`fma-define`
184×	`distribute-rgt-in`
155×	`sub-neg`
146×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	429
1	98	397
2	292	377
3	884	373
4	1945	373
5	3134	373
6	3689	373
7	3945	373
8	3962	373
9	3964	373
10	3964	373
11	4101	373
12	4101	373

Stop Event

1×

saturated

Results

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

end0.0ms (0%)

preprocess40.0ms (0.7%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

analyze2.0ms (0%)

sample3.4s (57.3%)

preprocess694.0ms (11.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize64.0ms (1.1%)

series333.0ms (5.6%)

rewrite674.0ms (11.3%)

simplify75.0ms (1.3%)

eval14.0ms (0.2%)

prune86.0ms (1.5%)

regimes38.0ms (0.6%)

simplify5.0ms (0.1%)

soundness512.0ms (8.6%)

end0.0ms (0%)

preprocess40.0ms (0.7%)

Profiling