Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

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

ival-add: 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)

sample887.0ms (21.7%)

Results

681.0ms	8253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-sub: 128.0ms (45.3% of total)

ival-mult: 85.0ms (30.1% of total)

ival-add: 57.0ms (20.2% of total)

const: 10.0ms (3.5% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess141.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-neg`
631×	`fma-define`
124×	`distribute-rgt-in`
116×	`unsub-neg`
73×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	228
1	56	204
2	152	185
3	693	182
4	1591	176
5	2456	176
6	2748	176
7	2798	176

Stop Event

1×

saturated

Calls

Call 1

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

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

explain59.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

30.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-sub: 3.0ms (26.8% of total)

const: 1.0ms (8.9% of total)

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

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize61.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(*.f64 (+.f64 x #s(literal 1 binary64)) y)
✓	cost-diff	-6272	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Rules

411×	`fma-define`
248×	`fma-neg`
66×	`cancel-sign-sub-inv`
44×	`distribute-rgt-in`
35×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	23	66
2	36	64
3	75	64
4	147	61
5	271	61
6	492	61
7	924	61
8	1240	61
9	1289	61
10	1298	61

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

16.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (44.4% of total)

ival-add: 2.0ms (29.6% of total)

ival-mult: 2.0ms (29.6% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

3 → 60

Calls

Call 1

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

Calls

15 calls:

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

rewrite296.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`prod-diff`
661×	`log1p-expm1-u`
661×	`expm1-log1p-u`
553×	`unpow-prod-down`
325×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	134	57
2	1810	55

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

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

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

simplify263.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-neg`
484×	`times-frac`
329×	`cancel-sign-sub-inv`
303×	`unswap-sqr`
209×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	9101
1	1204	8352
2	3475	8297

Stop Event

1×	node limit

Counts

295 → 306

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

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

eval37.0ms (0.9%)

Compiler: Compiled 5076 to 888 computations (82.5% saved)

prune45.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	302	5	307

Accuracy

100.0%

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶	61.2%	(-.f64 (*.f64 y x) x)
▶	77.2%	(-.f64 y x)
▶	61.2%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	39.0%	(neg.f64 x)

Compiler

Compiled 32 to 21 computations (34.4% saved)

localize62.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) x)
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(-.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(-.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(neg.f64 x)

Rules

111×	`fma-define`
106×	`fma-neg`
22×	`distribute-rgt-in`
21×	`cancel-sign-sub-inv`
20×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	111
1	31	111
2	42	111
3	60	111
4	93	111
5	142	111
6	265	111
7	435	111
8	493	111
9	525	111
10	528	111

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

25.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (38% of total)

ival-mult: 4.0ms (38% of total)

ival-neg: 2.0ms (19% of total)

const: 0.0ms (0% of total)

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

series68.0ms (1.7%)

Counts

6 → 102

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
58.0ms	x	@	inf	(neg x)
1.0ms	y	@	-inf	(* x (- y 1))
0.0ms	x	@	0	(* x (- y 1))
0.0ms	x	@	inf	(* x (- y 1))
0.0ms	x	@	0	(- (* y x) x)

rewrite136.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log1p-expm1-u`
817×	`expm1-log1p-u`
398×	`fma-define`
393×	`log-prod`
215×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	204	76
2	2949	76

Stop Event

1×	node limit

Counts

6 → 422

Calls

Call 1

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

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

simplify301.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

405×	`fma-neg`
324×	`cancel-sign-sub-inv`
289×	`distribute-lft-neg-in`
279×	`distribute-rgt-neg-in`
238×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	12221
1	1127	11720
2	3842	10874

Stop Event

1×	node limit

Counts

524 → 386

Calls

Call 1

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

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

eval46.0ms (1.1%)

Compiler: Compiled 4075 to 746 computations (81.7% saved)

prune50.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	384	2	386
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	384	7	391

Accuracy

100.0%

Counts

391 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	61.2%	(-.f64 (*.f64 y x) x)
✓	77.2%	(-.f64 y x)
✓	61.2%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	25.4%	(*.f64 x y)
✓	39.0%	(neg.f64 x)
▶	2.5%	x

Compiler

Compiled 40 to 26 computations (35% saved)

localize28.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	9	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(*.f64 x y)
x
y

Outputs
x
(*.f64 x y)
x
y

Results

10.0ms

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: 2.0ms (75.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

6 calls:

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

rewrite61.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
437×	`associate-l`
251×	`log1p-expm1-u`
251×	`expm1-log1p-u`
247×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	65	13
2	706	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x y)

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

simplify81.0ms (2%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv`
429×	`times-frac`
428×	`sub-neg`
381×	`prod-exp`
309×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	805
1	160	547
2	460	533
3	2185	533
4	4666	533

Stop Event

1×	node limit

Counts

25 → 33

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 345 to 101 computations (70.7% saved)

prune7.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	33	7	40

Accuracy

100.0%

Counts

40 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	61.2%	(-.f64 (*.f64 y x) x)
✓	77.2%	(-.f64 y x)
✓	61.2%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	25.4%	(*.f64 x y)
✓	39.0%	(neg.f64 x)
✓	2.5%	x

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes11.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`x`
80.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
60.7%	3	`y`
43.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
39.0%	1	`x`
39.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.5%	1	`x`
2.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch182.0ms (4.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
153.0ms	0.0026943976950180933	90933302.03081827
27.0ms	-1.263353205709963	-2.4242833858528892e-8

Results

171.0ms

304×

valid

Compiler

Compiled 280 to 191 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 13.0ms (78.1% of total)

ival-sub: 2.0ms (12% of total)

ival-add: 2.0ms (12% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0026943976950180933	90933302.03081827
11.0ms	-1.263353205709963	-2.4242833858528892e-8

Results

14.0ms

304×

valid

Compiler

Compiled 280 to 200 computations (28.6% saved)

Precisions

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

ival-sub: 2.0ms (32.2% of total)

ival-add: 2.0ms (32.2% of total)

ival-mult: 2.0ms (32.2% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-7.883872748470975e+22	-3.897935980385016e+21
11.0ms	-2.6769470184978586e+145	-4.297130014829644e+142

Results

11.0ms

240×

valid

Compiler

Compiled 186 to 130 computations (30.1% saved)

Precisions

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

ival-mult: 2.0ms (40.6% of total)

ival-sub: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3446103640480642000.0	2.7708322461633794e+26
11.0ms	-369248345.49135655	-3754.8222756772648

Results

13.0ms

288×

valid

Compiler

Compiled 212 to 154 computations (27.4% saved)

Precisions

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

ival-sub: 2.0ms (33.5% of total)

ival-add: 2.0ms (33.5% of total)

ival-mult: 2.0ms (33.5% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`sub-neg`
5×	`*-commutative`
4×	`if-if-or-not`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	291
1	65	291
2	73	291
3	79	291

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1319999999999999996685599536909273327049251162945314194509510342847006217364472398107228121674909660251056602954924227002657168366710259814760448 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -5900000000000000000000 binary64)) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y #s(literal -3800 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3500000000000000000 binary64)) (neg.f64 x) (.f64 x y)))
(neg.f64 x)
x

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x y) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x y) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y x))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 y x))
(if (<=.f64 x #s(literal -1319999999999999996685599536909273327049251162945314194509510342847006217364472398107228121674909660251056602954924227002657168366710259814760448 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -5900000000000000000000 binary64)) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y #s(literal -3800 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3500000000000000000 binary64)) (neg.f64 x) (.f64 x y)))
(if (or (<=.f64 y #s(literal -3800 binary64)) (not (<=.f64 y #s(literal 3500000000000000000 binary64)))) (*.f64 x y) (neg.f64 x))
(neg.f64 x)
x

soundness1.0s (24.8%)

Rules

817×	`log1p-expm1-u`
817×	`expm1-log1p-u`
544×	`fma-neg`
484×	`times-frac`
405×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	570	12221
1	1127	11720
2	3842	10874
0	15	82
1	204	76
2	2949	76
0	544	9101
1	1204	8352
2	3475	8297

Stop Event

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

Compiler

Compiled 149 to 67 computations (55% saved)

preprocess90.0ms (2.2%)

Compiler: Compiled 178 to 78 computations (56.2% saved)

Iter	Nodes	Cost
0	15	111
1	31	111
2	42	111
3	60	111
4	93	111
5	142	111
6	265	111
7	435	111
8	493	111
9	525	111
10	528	111

Iter	Nodes	Cost
0	15	111
1	31	111
2	42	111
3	60	111
4	93	111
5	142	111
6	265	111
7	435	111
8	493	111
9	525	111
10	528	111

analyze0.0ms (0%)

sample887.0ms (21.7%)

preprocess141.0ms (3.5%)

explain59.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize61.0ms (1.5%)

series6.0ms (0.2%)

rewrite296.0ms (7.3%)

simplify263.0ms (6.5%)

eval37.0ms (0.9%)

prune45.0ms (1.1%)

localize62.0ms (1.5%)

series68.0ms (1.7%)

rewrite136.0ms (3.3%)

simplify301.0ms (7.4%)

eval46.0ms (1.1%)

prune50.0ms (1.2%)

localize28.0ms (0.7%)

series1.0ms (0%)

rewrite61.0ms (1.5%)

simplify81.0ms (2%)

eval4.0ms (0.1%)

prune7.0ms (0.2%)

regimes11.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes43.0ms (1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch182.0ms (4.5%)

bsearch27.0ms (0.7%)

bsearch21.0ms (0.5%)

bsearch26.0ms (0.6%)

simplify5.0ms (0.1%)

soundness1.0s (24.8%)

preprocess90.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	111
1	31	111
2	42	111
3	60	111
4	93	111
5	142	111
6	265	111
7	435	111
8	493	111
9	525	111
10	528	111