Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, 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 11 to 8 computations (27.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample785.0ms (32.2%)

Results

494.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 136.0ms (68.2% of total)

ival-sub: 49.0ms (24.6% of total)

const: 11.0ms (5.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess97.0ms (4%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-define`
358×	`fma-neg`
87×	`unsub-neg`
81×	`associate-r`
78×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	85	296
2	199	296
3	522	296
4	1018	296
5	1664	296
6	2237	296
7	2243	296
8	2243	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (.f64 (.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) z) y)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (.f64 y (.f64 x #s(literal -3 binary64))) z)
(-.f64 (.f64 x (.f64 y #s(literal -3 binary64))) z)
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (.f64 (.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (.f64 z (.f64 #s(literal 3 binary64) y)) x)
(-.f64 (.f64 y (.f64 #s(literal 3 binary64) z)) x)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) z) y)

Symmetry

(sort x y)

explain135.0ms (5.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`(*.f64 x #s(literal 3 binary64))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
0	-	-	`y`

Results

107.0ms

512×

valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 18.0ms (80.2% of total)

ival-sub: 3.0ms (13.4% of total)

const: 1.0ms (4.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

localize95.0ms (3.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.8%	(.f64 x (.f64 #s(literal 3 binary64) y))

Results

80.0ms

256×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 18.0ms (82.7% of total)

ival-sub: 3.0ms (13.8% of total)

const: 1.0ms (4.6% of total)

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

series5.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 #s(literal 3 binary64) y))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>

Outputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* x (* 3 y))
1.0ms	x	@	0	(* x (* 3 y))
1.0ms	x	@	inf	(* x (* 3 y))
1.0ms	y	@	inf	(* x (* 3 y))
0.0ms	y	@	-inf	(* x (* 3 y))

rewrite186.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`unpow-prod-down`
450×	`log1p-expm1-u`
450×	`expm1-log1p-u`
429×	`add-exp-log`
414×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	128	38
2	1273	38

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)

Outputs
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))

simplify105.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

566×	`div-sub`
395×	`distribute-lft-in`
381×	`distribute-rgt-in`
306×	`associate-r`
305×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1934
1	132	1934
2	247	1934
3	604	1934
4	1371	1934
5	3974	1934
6	6385	1934

Stop Event

1×	node limit

Counts

90 → 28

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) y))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 3 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) y))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 3 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y)))))
(sqrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(cbrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 1/3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))

eval5.0ms (0.2%)

Compiler: Compiled 343 to 240 computations (30% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
▶	99.8%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Compiler

Compiled 30 to 21 computations (30% saved)

localize28.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 #s(literal 3 binary64) (.f64 x y))

Results

20.0ms

256×

valid

Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions

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

ival-mult: 7.0ms (78.4% of total)

ival-sub: 1.0ms (11.2% of total)

const: 1.0ms (11.2% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>

Outputs

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 3 (* x y))
0.0ms	x	@	-inf	(* 3 (* x y))
0.0ms	x	@	inf	(* 3 (* x y))
0.0ms	y	@	-inf	(* 3 (* x y))
0.0ms	y	@	inf	(* 3 (* x y))

rewrite68.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`unpow-prod-down`
362×	`log1p-expm1-u`
362×	`expm1-log1p-u`
347×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1007	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))

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

simplify115.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-define`
506×	`fma-neg`
404×	`associate-+r-`
288×	`prod-exp`
286×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	65	537
1	118	533
2	292	533
3	1381	533
4	3155	533
5	4793	525

Stop Event

1×	node limit

Counts

21 → 31

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 370 to 244 computations (34.1% saved)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	30	4	34

Accuracy

100.0%

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)
✓	99.1%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
✓	99.8%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Compiler

Compiled 43 to 29 computations (32.6% saved)

localize79.0ms (3.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64))))

Results

67.0ms

256×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.5% of total)

ival-fma: 7.0ms (33% of total)

ival-sub: 1.0ms (4.7% of total)

const: 1.0ms (4.7% of total)

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64))))>

Outputs
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))>

Calls

6 calls:

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

rewrite73.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`unpow-prod-down`
466×	`log1p-expm1-u`
466×	`expm1-log1p-u`
445×	`add-exp-log`
391×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	110	28
2	1294	28

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))
(pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))

simplify130.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

435×	`fma-define`
376×	`fma-neg`
367×	`prod-exp`
290×	`distribute-lft-in`
275×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1653
1	305	1575
2	1050	1551
3	3800	1539
4	7791	1539

Stop Event

1×	node limit

Counts

63 → 66

Calls

Call 1

Inputs
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))
(pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))

Outputs
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) x))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) y))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y x))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 y x) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 3 binary64) y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 y #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 3 binary64) y)))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 y #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) (log.f64 (E.f64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (cbrt.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 3 binary64))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 3 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 3 binary64) y)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 y #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 y (.f64 x (.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 5 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (.f64 y x) (.f64 x (.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 y x) (.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (*.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(exp.f64 (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (+.f64 y (.f64 y #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 x (.f64 y #s(literal 3 binary64)))

eval18.0ms (0.7%)

Compiler: Compiled 1137 to 754 computations (33.7% saved)

prune11.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	66	4	70

Accuracy

100.0%

Counts

70 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)
✓	99.1%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
✓	99.8%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes14.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)

Outputs
(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)

Calls

6 calls:

5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes18.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)

Calls

6 calls:

10.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Outputs
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	33	98
2	40	98
3	42	98
4	43	98

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)

Outputs
(-.f64 (fma.f64 y x (.f64 x (.f64 y #s(literal 2 binary64)))) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 y x)) z)

soundness332.0ms (13.6%)

Rules

835×	`fma-define`
671×	`fma-define`
506×	`fma-neg`
408×	`unpow-prod-down`
404×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	85	296
2	199	296
3	522	296
4	1018	296
5	1664	296
6	2237	296
7	2243	296
8	2243	296
0	10	19
1	88	19
2	1007	19
0	65	537
1	118	533
2	292	533
3	1381	533
4	3155	533
5	4793	525

Stop Event

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

Compiler

Compiled 476 to 241 computations (49.4% saved)

preprocess110.0ms (4.5%)

Compiler: Compiled 172 to 108 computations (37.2% saved)

Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

sample785.0ms (32.2%)

preprocess97.0ms (4%)

explain135.0ms (5.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize95.0ms (3.9%)

series5.0ms (0.2%)

rewrite186.0ms (7.6%)

simplify105.0ms (4.3%)

eval5.0ms (0.2%)

prune6.0ms (0.2%)

localize28.0ms (1.1%)

series1.0ms (0%)

rewrite68.0ms (2.8%)

simplify115.0ms (4.7%)

eval5.0ms (0.2%)

prune6.0ms (0.2%)

localize79.0ms (3.2%)

series4.0ms (0.2%)

rewrite73.0ms (3%)

simplify130.0ms (5.3%)

eval18.0ms (0.7%)

prune11.0ms (0.4%)

regimes14.0ms (0.6%)

regimes18.0ms (0.8%)

regimes2.0ms (0.1%)

simplify3.0ms (0.1%)

soundness332.0ms (13.6%)

preprocess110.0ms (4.5%)

end0.0ms (0%)

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