Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, 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 10 to 6 computations (40% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample1.1s (34.5%)

Results

808.0ms	7206×	0	valid
81.0ms	1048×	0	infinite
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-add: 95.0ms (50.6% of total)

ival-mult: 82.0ms (43.6% of total)

const: 7.0ms (3.7% of total)

backward-pass: 4.0ms (2.1% of total)

Bogosity

preprocess91.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg`
422×	`fma-define`
84×	`cancel-sign-sub-inv`
77×	`unsub-neg`
69×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y x) y) x)

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

Symmetry

(sort x y)

explain103.0ms (3.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`

Results

70.0ms	454×	256	valid
5.0ms	58×	256	infinite

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (49.1% of total)

ival-mult: 4.0ms (39.3% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize93.0ms (2.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) x)

Results

78.0ms	227×	256	valid
3.0ms	29×	256	infinite

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (41.8% of total)

composed: 4.0ms (27.9% of total)

ival-mult: 4.0ms (27.9% of total)

const: 1.0ms (7% of total)

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite410.0ms (12.6%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
447×	`unpow-prod-down`
407×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	98	18
2	1332	18

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 x (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

simplify144.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg`
537×	`unswap-sqr`
399×	`fma-define`
323×	`div-sub`
269×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2545
1	439	2406
2	1224	2364
3	4863	2356

Stop Event

1×	node limit

Counts

94 → 82

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 x (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 x y x)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x y x)
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(fma.f64 x y x)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(fma.f64 x y x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(fma.f64 x y x)
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x y x)
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 x (.f64 x y)))
(fma.f64 x y x)
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(fma.f64 x y x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x y x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(fma.f64 x y x)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 x y x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 x y x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(fma.f64 x y x)
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 3 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 y))) #s(literal 2 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 x y x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) x)
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 x y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 x y x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x y x)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x)
(fma.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 x y x)

eval22.0ms (0.7%)

Compiler: Compiled 1113 to 617 computations (44.6% saved)

prune73.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	81	3	84

Accuracy

100.0%

Counts

84 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	63.1%	(+.f64 (*.f64 x y) y)
▶	77.2%	(+.f64 x y)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize109.0ms (3.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y #s(literal 1 binary64)) x)
✓	100.0%	(+.f64 (*.f64 x y) y)

Results

95.0ms

256×

256

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 63.0ms (90.8% of total)

ival-mult: 5.0ms (7.2% of total)

const: 1.0ms (1.4% of total)

series6.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 x y) y)>
#<alt (*.f64 (+.f64 y #s(literal 1 binary64)) x)>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (+ y 1) x)
1.0ms	x	@	-inf	(* (+ y 1) x)
0.0ms	y	@	inf	(+ (* x y) y)
0.0ms	x	@	inf	(* (+ y 1) x)
0.0ms	y	@	-inf	(* (+ y 1) x)

rewrite224.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`prod-diff`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
382×	`log-prod`
371×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	155	37
2	2107	36

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

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

simplify121.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

809×	`times-frac`
753×	`fma-define`
414×	`distribute-lft-in`
371×	`distribute-rgt-in`
238×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4250
1	700	4197
2	1746	4108
3	7591	4108

Stop Event

1×	node limit

Counts

182 → 153

Calls

Call 1

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

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

eval66.0ms (2%)

Compiler: Compiled 1709 to 930 computations (45.6% saved)

prune24.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	151	5	156

Accuracy

100.0%

Counts

156 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	63.1%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
▶	23.9%	(*.f64 y x)
▶	41.6%	y

Compiler

Compiled 29 to 18 computations (37.9% saved)

localize22.0ms (0.7%)

Results

17.0ms

256×

256

valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (96.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune9.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	63.1%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
✓	23.9%	(*.f64 y x)
✓	41.6%	y

Compiler

Compiled 63 to 33 computations (47.6% saved)

regimes12.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 x y) y)

Calls

2 calls:

7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
85.7%	4	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes45.0ms (1.4%)

Counts

3 → 4

Calls

Call 1

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

Outputs
(+.f64 x y)
(*.f64 y x)
(+.f64 x y)
(*.f64 y x)

Calls

2 calls:

41.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
85.4%	4	`x`
85.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

Outputs
(*.f64 y x)
y
(*.f64 y x)

Calls

2 calls:

7.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
49.6%	4	`y`
62.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
41.6%	1	`y`
41.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	6.655565714829733e-8	243.02811610941674
14.0ms	-15.021873567177295	-0.0010157481114823508

Results

20.0ms

272×

valid

Compiler

Compiled 236 to 154 computations (34.7% saved)

Precisions

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

ival-add: 3.0ms (56.8% of total)

ival-mult: 2.0ms (37.9% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (1.2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.552029331895791e-11	8259673.297618314
9.0ms	-1.6762006232471583e+192	-6.080175247909168e+191
11.0ms	-1.3236221379597278e+228	-1.8052510690338687e+227

Results

19.0ms	279×	0	valid
5.0ms	57×	0	infinite

Compiler

Compiled 266 to 177 computations (33.5% saved)

Precisions

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

ival-add: 6.0ms (69.4% of total)

ival-mult: 3.0ms (34.7% of total)

const: 0.0ms (0% of total)

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

bsearch75.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	1.552029331895791e-11	8259673.297618314
11.0ms	-2.4962760898901992	-0.2939041643067088

Results

65.0ms

256×

valid

Compiler

Compiled 174 to 121 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 50.0ms (95.6% of total)

ival-mult: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`not-or`
4×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	234
1	58	228
2	61	228
3	64	224
4	65	224
5	66	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(if (<=.f64 y #s(literal -15 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 x #s(literal -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792 binary64)) (+.f64 x y) (if (<=.f64 x #s(literal -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 7600000 binary64)) (+.f64 x y) (.f64 y x))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
y

Outputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(+.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal -15 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -15 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 y (.f64 y x))))
(if (<=.f64 x #s(literal -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792 binary64)) (+.f64 x y) (if (<=.f64 x #s(literal -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 7600000 binary64)) (+.f64 x y) (.f64 y x))))
(if (or (<=.f64 x #s(literal -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792 binary64)) (and (not (<=.f64 x #s(literal -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872 binary64))) (<=.f64 x #s(literal 7600000 binary64)))) (+.f64 y x) (*.f64 y x))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 y x) y)
y

soundness267.0ms (8.2%)

Rules

809×	`times-frac`
791×	`prod-diff`
753×	`fma-define`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	98	18
2	1332	18
0	309	4250
1	700	4197
2	1746	4108
3	7591	4108

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 92 to 48 computations (47.8% saved)

preprocess91.0ms (2.8%)

Compiler: Compiled 194 to 110 computations (43.3% saved)

Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

sample1.1s (34.5%)

preprocess91.0ms (2.8%)

explain103.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize93.0ms (2.9%)

series4.0ms (0.1%)

rewrite410.0ms (12.6%)

simplify144.0ms (4.4%)

eval22.0ms (0.7%)

prune73.0ms (2.3%)

localize109.0ms (3.4%)

series6.0ms (0.2%)

rewrite224.0ms (6.9%)

simplify121.0ms (3.7%)

eval66.0ms (2%)

prune24.0ms (0.7%)

localize22.0ms (0.7%)

eval0.0ms (0%)

prune9.0ms (0.3%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

regimes45.0ms (1.4%)

regimes11.0ms (0.3%)

regimes1.0ms (0%)

bsearch48.0ms (1.5%)

bsearch38.0ms (1.2%)

bsearch75.0ms (2.3%)

simplify4.0ms (0.1%)

soundness267.0ms (8.2%)

preprocess91.0ms (2.8%)

end0.0ms (0%)

Profiling