Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample813.0ms (27.6%)

Results

630.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 373.0ms

ival-sub: 214.0ms (57.4% of total)

ival-mult: 146.0ms (39.2% of total)

const: 11.0ms (3% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess99.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-define`
206×	`fma-neg`
92×	`cancel-sign-sub-inv`
89×	`associate-r`
85×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 y (.f64 x (.f64 #s(literal 4 binary64) z)))
(+.f64 y (.f64 z (.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 z (.f64 x (.f64 y #s(literal 4 binary64))))
(+.f64 z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Symmetry

(sort y z)

explain64.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
-	-	`#s(literal 4 binary64)`
-	-	`z`
-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
-	-	`(*.f64 y #s(literal 4 binary64))`
-	-	`y`

Results

35.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (68.5% of total)

ival-sub: 3.0ms (22.8% of total)

const: 1.0ms (7.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
▶	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	cost-diff	-6272	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	cost-diff	0	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)

Rules

282×	`fma-define`
110×	`fma-neg`
45×	`cancel-sign-sub-inv`
43×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	121
1	30	113
2	61	113
3	119	113
4	170	113
5	231	113
6	325	113
7	402	113
8	525	113
9	737	113
10	823	113
11	835	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x

localize37.0ms (1.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

26.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-mult: 5.0ms (44% of total)

ival-fma: 4.0ms (35.2% of total)

ival-sub: 1.0ms (8.8% of total)

const: 1.0ms (8.8% of total)

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

series13.0ms (0.4%)

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (.f64 (.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)>
#<alt (*.f64 z #s(literal -4 binary64))>

Outputs
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- x (* (* y 4) z))
1.0ms	z	@	0	(* (* y 4) z)
1.0ms	y	@	0	(* (* y 4) z)
1.0ms	y	@	inf	(* (* y 4) z)
1.0ms	z	@	inf	(* (* y 4) z)

rewrite420.0ms (14.3%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`prod-diff`
818×	`log1p-expm1-u`
818×	`expm1-log1p-u`
262×	`fma-define`
146×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	95
1	186	87
2	2514	87

Stop Event

1×	node limit

Counts

5 → 313

Calls

Call 1

Inputs
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(*.f64 z #s(literal -4 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64))))) (-.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))

simplify596.0ms (20.2%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-neg`
449×	`distribute-lft-neg-in`
402×	`distribute-rgt-neg-in`
279×	`associate-r`
273×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	12119
1	1296	11867
2	3616	11855

Stop Event

1×	node limit

Counts

433 → 250

Calls

Call 1

Inputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 x (.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(+.f64 (.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64) (.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 z y)))) (fma.f64 #s(literal -4 binary64) (.f64 z y) (.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) (.f64 z (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64)))) (.f64 z (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) (.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 z (.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (.f64 z (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64) (.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 y) (.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) (.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 z y)))) (fma.f64 #s(literal -4 binary64) (.f64 z y) (.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) (.f64 z (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64)))) (.f64 z (pow.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) (.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 z (.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (.f64 z (.f64 (sqrt.f64 y) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (/.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) x))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64)))) (.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64))))) (-.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 z (/.f64 y x)) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64)))) (.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 y (.f64 z #s(literal -4 binary64))))) (-.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 z #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z #s(literal -4 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(*.f64 z #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 z #s(literal -4 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal -4 binary64))

eval30.0ms (1%)

Compiler: Compiled 5144 to 610 computations (88.1% saved)

prune36.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	248	2	250
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	249	3	252

Accuracy

100.0%

Counts

252 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	46.6%	(.f64 (.f64 y #s(literal -4 binary64)) z)
▶	55.5%	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	16	42
2	23	42
3	25	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(.f64 (.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
z

Outputs
x
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 y (.f64 #s(literal -4 binary64) z))
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
z

localize23.0ms (0.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal -4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))

Results

17.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-mult: 5.0ms (90.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (.f64 (.f64 y #s(literal -4 binary64)) z)>
#<alt (*.f64 y #s(literal -4 binary64))>

Outputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (* y -4) z)
0.0ms	y	@	0	(* y -4)
0.0ms	z	@	0	(* (* y -4) z)
0.0ms	y	@	-inf	(* y -4)
0.0ms	y	@	inf	(* (* y -4) z)

rewrite70.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`unpow-prod-down`
361×	`log1p-expm1-u`
361×	`expm1-log1p-u`
347×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1006	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 (.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(cbrt.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))

simplify96.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-define`
626×	`fma-neg`
380×	`associate-r`
362×	`distribute-lft-out`
326×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1478
1	221	1478
2	413	1478
3	884	1478
4	2349	1478
5	4902	1478

Stop Event

1×	node limit

Counts

78 → 61

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(cbrt.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal -4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (.f64 y z)))) #s(literal 2 binary64))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z)))) (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y))))) (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 16 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(cbrt.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal -4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal -4 binary64) y)
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(*.f64 #s(literal -4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(*.f64 #s(literal -4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) y)

eval9.0ms (0.3%)

Compiler: Compiled 633 to 198 computations (68.7% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	61	3	64

Accuracy

100.0%

Counts

64 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	46.6%	(.f64 (.f64 y #s(literal -4 binary64)) z)
✓	55.5%	x

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes130.0ms (4.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 (.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Calls

6 calls:

118.0ms	z
2.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes19.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 (.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Calls

6 calls:

6.0ms	y
5.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(.f64 (.f64 y #s(literal -4 binary64)) z)

Outputs
(.f64 (.f64 y #s(literal -4 binary64)) z)
x
(.f64 (.f64 y #s(literal -4 binary64)) z)

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
75.0%	3	`x`
77.5%	3	`y`
77.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`z`
55.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.709627625474252e-93	4.1639640338148676e-83
9.0ms	-8.630067294935898e+107	-1.076188445848922e+107

Results

14.0ms

256×

valid

Compiler

Compiled 240 to 188 computations (21.7% saved)

Precisions

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

ival-mult: 4.0ms (70% of total)

ival-sub: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	110
1	44	110
2	62	110
3	72	110
4	80	110
5	83	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 y #s(literal -194999999999999992289070110640768748684217423941992865501781497985194473507595399037240264860352610423537664 binary64)) (.f64 (.f64 y #s(literal -4 binary64)) z) (if (<=.f64 y #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) x (.f64 (.f64 y #s(literal -4 binary64)) z)))
x

Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 z (.f64 y #s(literal 4 binary64))))
(if (<=.f64 y #s(literal -194999999999999992289070110640768748684217423941992865501781497985194473507595399037240264860352610423537664 binary64)) (.f64 (.f64 y #s(literal -4 binary64)) z) (if (<=.f64 y #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) x (.f64 (.f64 y #s(literal -4 binary64)) z)))
(if (or (<=.f64 y #s(literal -194999999999999992289070110640768748684217423941992865501781497985194473507595399037240264860352610423537664 binary64)) (not (<=.f64 y #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)))) (.f64 z (.f64 y #s(literal -4 binary64))) x)
x

soundness353.0ms (12%)

Rules

452×	`fma-neg`
449×	`distribute-lft-neg-in`
402×	`distribute-rgt-neg-in`
360×	`fma-define`
279×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276
0	515	12119
1	1296	11867
2	3616	11855

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 128 to 60 computations (53.1% saved)

preprocess42.0ms (1.4%)

Remove: (sort y z)
Compiler: Compiled 156 to 100 computations (35.9% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample813.0ms (27.6%)

preprocess99.0ms (3.4%)

explain64.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (1.1%)

localize37.0ms (1.3%)

series13.0ms (0.4%)

rewrite420.0ms (14.3%)

simplify596.0ms (20.2%)

eval30.0ms (1%)

prune36.0ms (1.2%)

simplify6.0ms (0.2%)

localize23.0ms (0.8%)

series2.0ms (0.1%)

rewrite70.0ms (2.4%)

simplify96.0ms (3.3%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

regimes130.0ms (4.4%)

regimes19.0ms (0.7%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch26.0ms (0.9%)

simplify5.0ms (0.2%)

soundness353.0ms (12%)

preprocess42.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	121
1	30	113
2	61	113
3	119	113
4	170	113
5	231	113
6	325	113
7	402	113
8	525	113
9	737	113
10	823	113
11	835	113

Iter	Nodes	Cost
0	17	121
1	30	113
2	61	113
3	119	113
4	170	113
5	231	113
6	325	113
7	402	113
8	525	113
9	737	113
10	823	113
11	835	113

Iter	Nodes	Cost
0	17	121
1	30	113
2	61	113
3	119	113
4	170	113
5	231	113
6	325	113
7	402	113
8	525	113
9	737	113
10	823	113
11	835	113