Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, D

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 19 to 10 computations (47.4% 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)

sample1.9s (41.9%)

Results

551.0ms	6064×	0	valid
659.0ms	2192×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-mult: 452.0ms (64.2% of total)

ival-sub: 121.0ms (17.2% of total)

ival-add: 64.0ms (9.1% of total)

backward-pass: 60.0ms (8.5% of total)

const: 7.0ms (1% of total)

Bogosity

preprocess114.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

574×	`sub-neg`
557×	`unsub-neg`
325×	`distribute-lft-out--`
304×	`distribute-lft-neg-in`
282×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z))))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (.f64 x y)) (.f64 y z))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z))
(+.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 0 binary64)) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z)))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z)))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z))))
(+.f64 (.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (.f64 x y)) (.f64 y z))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(+.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x z))
(*.f64 x (-.f64 (-.f64 y #s(literal 0 binary64)) z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(+.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 0 binary64)) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))
(+.f64 (.f64 z (-.f64 x z)) (-.f64 (.f64 z z) (*.f64 y z)))
(-.f64 (.f64 x z) (.f64 y z))
(*.f64 z (-.f64 x y))

Symmetry

(negabs y)

explain191.0ms (4.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
20	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
9	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`x`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Results

24.0ms	282×	0	valid
45.0ms	230×	1	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

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

ival-mult: 16.0ms (47.9% of total)

ival-sub: 7.0ms (21% of total)

backward-pass: 6.0ms (18% of total)

ival-add: 4.0ms (12% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 28 to 13 computations (53.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(-.f64 (.f64 x y) (.f64 y z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize60.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 y (-.f64 x z))
✓	cost-diff	128	(-.f64 (.f64 x y) (.f64 y z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))
✓	accuracy	96.6%	(-.f64 (.f64 x y) (.f64 y z))

Rules

171×	`fma-define`
126×	`fma-neg`
32×	`distribute-rgt-in`
32×	`cancel-sign-sub-inv`
27×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

24.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 5.0ms (58.5% of total)

ival-sub: 3.0ms (35.1% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Counts

5 → 78

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(- (* x y) (* y z))
1.0ms	y	@	inf	(- (* x y) (* y z))
1.0ms	y	@	inf	(* y (- x z))
1.0ms	y	@	-inf	(- (* x y) (* y z))
1.0ms	x	@	0	(- (* x y) (* y z))

rewrite451.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
608×	`fma-define`
492×	`log-prod`
256×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	101
1	199	83
2	2848	83

Stop Event

1×	node limit

Counts

5 → 588

Calls

Call 1

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

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

simplify374.0ms (8%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg`
388×	`distribute-lft-neg-in`
333×	`distribute-rgt-neg-in`
232×	`associate-r`
212×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	661	20261
1	1438	19552
2	4108	18875

Stop Event

1×	node limit

Counts

666 → 433

Calls

Call 1

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

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

eval74.0ms (1.6%)

Compiler: Compiled 6865 to 1890 computations (72.5% saved)

prune190.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	431	2	433
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	431	4	435

Accuracy

100.0%

Counts

435 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(-.f64 (.f64 x y) (.f64 y z))
▶	55.1%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	51.6%	(*.f64 y x)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize90.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

42×	`fma-define`
9×	`sub-neg`
9×	`distribute-lft-in`
5×	`mul0-rgt`
5×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	21	54
2	32	54
3	43	54
4	54	54
5	71	54
6	98	54
7	123	54
8	129	54
9	141	54

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

72.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 4.0ms (69.1% of total)

ival-neg: 1.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(* z (neg y))
0.0ms	y	@	0	(* z (neg y))
0.0ms	y	@	inf	(neg y)
0.0ms	y	@	0	(neg y)
0.0ms	z	@	inf	(* z (neg y))

rewrite90.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`unpow-prod-down`
450×	`log1p-expm1-u`
450×	`expm1-log1p-u`
431×	`add-exp-log`
416×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	130	30
2	1556	30

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

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

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Rules

891×	`times-frac`
827×	`fma-neg`
402×	`prod-exp`
361×	`fma-define`
356×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2202
1	412	2197
2	1070	2191
3	5528	2191

Stop Event

1×	node limit

Counts

153 → 117

Calls

Call 1

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

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

eval17.0ms (0.4%)

Compiler: Compiled 938 to 471 computations (49.8% saved)

prune23.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	117	4	121

Accuracy

100.0%

Counts

121 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(-.f64 (.f64 x y) (.f64 y z))
✓	55.1%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	51.6%	(*.f64 y x)

Compiler

Compiled 68 to 35 computations (48.5% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes126.0ms (2.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	z
4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.4%	5	`x`
63.3%	6	`y`
78.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

3 calls:

0.0ms	x
0.0ms	z
0.0ms	y

Results

Accuracy	Segments	Branch
51.6%	1	`y`
51.6%	1	`x`
51.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch94.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.06687570370396793	6567061333392821000.0
68.0ms	-8.254713263255356e-19	-8.117191410868196e-20

Results

13.0ms	179×	0	valid
14.0ms	93×	1	valid

Compiler

Compiled 279 to 201 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (51.8% of total)

ival-sub: 4.0ms (25.9% of total)

backward-pass: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

const: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	96
1	40	96
2	50	96
3	56	96
4	58	96

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -4361529361169255/10384593717069655257060992658440192 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 390000000 binary64)) (*.f64 y x) (*.f64 z (neg.f64 y))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -4361529361169255/10384593717069655257060992658440192 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 390000000 binary64)) (.f64 y x) (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z #s(literal -4361529361169255/10384593717069655257060992658440192 binary64)) (not (<=.f64 z #s(literal 390000000 binary64)))) (.f64 z (neg.f64 y)) (.f64 y x))
(*.f64 y x)

soundness552.0ms (11.9%)

Rules

657×	`fma-neg`
574×	`sub-neg`
557×	`unsub-neg`
388×	`distribute-lft-neg-in`
333×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250
0	661	20261
1	1438	19552
2	4108	18875

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 196 to 72 computations (63.3% saved)

preprocess122.0ms (2.6%)

Remove: (negabs y)
Compiler: Compiled 138 to 78 computations (43.5% saved)

Linear.Quaternion:$c/ from linear-1.19.1.3, D

analyze0.0ms (0%)

sample1.9s (41.9%)

preprocess114.0ms (2.5%)

explain191.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize60.0ms (1.3%)

series17.0ms (0.4%)

rewrite451.0ms (9.7%)

simplify374.0ms (8%)

eval74.0ms (1.6%)

prune190.0ms (4.1%)

localize90.0ms (1.9%)

series6.0ms (0.1%)

rewrite90.0ms (1.9%)

simplify91.0ms (2%)

eval17.0ms (0.4%)

prune23.0ms (0.5%)

regimes9.0ms (0.2%)

regimes126.0ms (2.7%)

regimes2.0ms (0%)

bsearch94.0ms (2%)

simplify5.0ms (0.1%)

soundness552.0ms (11.9%)

preprocess122.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107