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)

sample834.0ms (19.9%)

Results

549.0ms	8250×	0	valid
1.0ms	4×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-add: 186.0ms (58.2% of total)

ival-mult: 72.0ms (22.5% of total)

ival-sub: 49.0ms (15.3% of total)

const: 10.0ms (3.1% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess97.0ms (2.3%)

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)

explain217.0ms (5.2%)

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

193.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-mult: 4.0ms (36.2% of total)

ival-sub: 3.0ms (27.1% of total)

ival-add: 3.0ms (27.1% of total)

const: 1.0ms (9% of total)

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

eval80.0ms (1.9%)

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize78.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	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%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Rules

401×	`fma-define`
227×	`fma-neg`
46×	`cancel-sign-sub-inv`
42×	`distribute-rgt-in`
35×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	29	113
2	48	104
3	104	104
4	174	104
5	300	104
6	564	104
7	1013	104
8	1180	104
9	1204	104
10	1205	104

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

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

Results

24.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

ival-add: 3.0ms (30.6% of total)

ival-fma: 3.0ms (30.6% of total)

ival-mult: 2.0ms (20.4% of total)

ival-sub: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite321.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
861×	`prod-diff`
419×	`fma-define`
251×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	187	91
2	2594	89

Stop Event

1×	node limit

Counts

5 → 256

Calls

Call 1

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

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

simplify235.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

658×	`times-frac`
462×	`fma-neg`
301×	`cancel-sign-sub-inv`
279×	`associate-+r+`
222×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	9221
1	1248	8987
2	3703	8789

Stop Event

1×	node limit

Counts

352 → 307

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

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

eval185.0ms (4.4%)

Compiler: Compiled 4642 to 751 computations (83.8% saved)

prune45.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	305	4	309

Accuracy

100.0%

Counts

309 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 (*.f64 y x) y) x)
▶	76.0%	(-.f64 y x)
▶	61.9%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	37.9%	(neg.f64 x)

Compiler

Compiled 25 to 16 computations (36% saved)

localize137.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

240×	`fma-define`
230×	`fma-neg`
36×	`distribute-rgt-in`
32×	`associate-+l-`
32×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	137
1	34	137
2	54	137
3	84	134
4	159	134
5	265	134
6	539	134
7	846	134
8	922	134
9	966	134
10	970	134

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

Results

81.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-sub: 4.0ms (35.6% of total)

ival-mult: 4.0ms (35.6% of total)

ival-neg: 2.0ms (17.8% of total)

ival-add: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

7 → 126

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

36 calls:

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

rewrite145.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`log1p-expm1-u`
1136×	`expm1-log1p-u`
366×	`fma-neg`
108×	`add-cube-cbrt`
106×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	108
1	234	104
2	3534	101

Stop Event

1×	node limit

Counts

7 → 231

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

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

simplify148.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-neg`
409×	`distribute-rgt-neg-in`
402×	`distribute-lft-neg-in`
272×	`associate-l`
263×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	8708
1	1036	8383
2	4299	7831

Stop Event

1×	node limit

Counts

357 → 312

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

eval44.0ms (1.1%)

Compiler: Compiled 3381 to 710 computations (79% saved)

prune126.0ms (3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	310	2	312
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	310	6	316

Accuracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (*.f64 y x) y) x)
✓	76.0%	(-.f64 y x)
✓	61.9%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	26.0%	(*.f64 x y)
✓	37.9%	(neg.f64 x)
▶	2.6%	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize24.0ms (0.6%)

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

11.0ms

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 (76.8% 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	@	inf	(* x y)
0.0ms	x	@	0	(* x y)
0.0ms	x	@	-inf	(* x y)
0.0ms	y	@	-inf	(* x y)
0.0ms	y	@	inf	(* x y)

rewrite79.0ms (1.9%)

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)))

simplify63.0ms (1.5%)

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)

eval5.0ms (0.1%)

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

prune8.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	33	6	39

Accuracy

100.0%

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (*.f64 y x) y) x)
✓	76.0%	(-.f64 y x)
✓	61.9%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	26.0%	(*.f64 x y)
✓	37.9%	(neg.f64 x)
✓	2.6%	x

Compiler

Compiled 69 to 38 computations (44.9% saved)

regimes10.0ms (0.2%)

Counts

8 → 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 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)

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

Calls

3 calls:

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

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)

regimes183.0ms (4.4%)

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

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

Calls

3 calls:

176.0ms	y
3.0ms	x
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) 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)

regimes10.0ms (0.2%)

Counts

6 → 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 (+.f64 x #s(literal 1 binary64)) y) x)

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

Calls

3 calls:

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

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)

regimes5.0ms (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

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.3%	3	`x`
79.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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:

2.0ms

Results

Accuracy	Segments	Branch
81.4%	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`
43.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
37.9%	1	`x`
37.9%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.6%	1	`y`
2.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4510647990081597e-10	4.729758171804983
10.0ms	-10251222437.050127	-33368255.05063416

Results

14.0ms

288×

valid

Compiler

Compiled 266 to 190 computations (28.6% saved)

Precisions

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

ival-sub: 2.0ms (32.9% of total)

ival-add: 2.0ms (32.9% of total)

ival-mult: 2.0ms (32.9% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.2199166078110976e+25	-814153846403.0289
15.0ms	-1.1053349603613573e+214	-5.5340413881438694e+206

Results

19.0ms

304×

valid

Compiler

Compiled 233 to 162 computations (30.5% saved)

Precisions

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

ival-add: 7.0ms (61.8% of total)

ival-sub: 2.0ms (17.7% of total)

ival-mult: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.1578816631623123	19706717.12002003
10.0ms	-8503.416702652554	-0.20909826249555322

Results

14.0ms

272×

valid

Compiler

Compiled 201 to 146 computations (27.4% saved)

Precisions

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

ival-sub: 2.0ms (29.7% of total)

ival-add: 2.0ms (29.7% of total)

ival-mult: 2.0ms (29.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	268
1	70	268
2	78	268
3	83	268

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -34000000 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 -5199999999999999631941526062885217512651886250814089081730160458329955980648949894270762310524967158901874521549518118820076175093989839369920864923576235116847933520379307532818121406964990443045482483679232 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -1599999999999999865782272 binary64)) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 2476979795053773/1125899906842624 binary64)) (neg.f64 x) (.f64 x y)))
(neg.f64 x)
x

Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 x y)) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x)
(if (<=.f64 x #s(literal -34000000 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 -34000000 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 -34000000 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 y x))
(if (<=.f64 x #s(literal -5199999999999999631941526062885217512651886250814089081730160458329955980648949894270762310524967158901874521549518118820076175093989839369920864923576235116847933520379307532818121406964990443045482483679232 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -1599999999999999865782272 binary64)) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 2476979795053773/1125899906842624 binary64)) (neg.f64 x) (.f64 x y)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 2476979795053773/1125899906842624 binary64)))) (*.f64 x y) (neg.f64 x))
(neg.f64 x)
x

soundness907.0ms (21.7%)

Rules

1136×	`log1p-expm1-u`
1136×	`expm1-log1p-u`
978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
861×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	108
1	234	104
2	3534	101
0	534	9221
1	1248	8987
2	3703	8789
0	15	91
1	187	91
2	2594	89
0	486	8708
1	1036	8383
2	4299	7831
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×	done
1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 275 to 112 computations (59.3% saved)

preprocess71.0ms (1.7%)

Compiler: Compiled 162 to 78 computations (51.9% saved)

Iter	Nodes	Cost
0	16	137
1	34	137
2	54	137
3	84	134
4	159	134
5	265	134
6	539	134
7	846	134
8	922	134
9	966	134
10	970	134

Iter	Nodes	Cost
0	16	137
1	34	137
2	54	137
3	84	134
4	159	134
5	265	134
6	539	134
7	846	134
8	922	134
9	966	134
10	970	134

analyze0.0ms (0%)

sample834.0ms (19.9%)

preprocess97.0ms (2.3%)

explain217.0ms (5.2%)

eval80.0ms (1.9%)

prune1.0ms (0%)

localize78.0ms (1.9%)

series11.0ms (0.3%)

rewrite321.0ms (7.7%)

simplify235.0ms (5.6%)

eval185.0ms (4.4%)

prune45.0ms (1.1%)

localize137.0ms (3.3%)

series10.0ms (0.2%)

rewrite145.0ms (3.5%)

simplify148.0ms (3.5%)

eval44.0ms (1.1%)

prune126.0ms (3%)

localize24.0ms (0.6%)

series1.0ms (0%)

rewrite79.0ms (1.9%)

simplify63.0ms (1.5%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

regimes10.0ms (0.2%)

regimes183.0ms (4.4%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch26.0ms (0.6%)

bsearch31.0ms (0.7%)

bsearch24.0ms (0.6%)

simplify8.0ms (0.2%)

soundness907.0ms (21.7%)

preprocess71.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	137
1	34	137
2	54	137
3	84	134
4	159	134
5	265	134
6	539	134
7	846	134
8	922	134
9	966	134
10	970	134