Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

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 9 to 6 computations (33.3% 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)

sample839.0ms (25.2%)

Results

640.0ms

8256×

valid

Precisions

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

ival-sub: 258.0ms (69.1% of total)

ival-mult: 105.0ms (28.1% of total)

const: 7.0ms (1.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess144.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-neg`
112×	`fma-define`
36×	`cancel-sign-sub-inv`
36×	`sub-neg`
28×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	73	254
2	135	230
3	318	230
4	586	230
5	719	230
6	740	230
7	742	230

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(-.f64 x (*.f64 (neg.f64 y) z))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(-.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 y z)))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(neg.f64 (-.f64 x (*.f64 (neg.f64 y) z)))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(neg.f64 (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))

Symmetry

(sort y z)

explain50.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y z)`
-	-	`z`
-	-	`(-.f64 x (*.f64 y z))`
-	-	`y`

Results

28.0ms

512×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.1% of total)

ival-sub: 3.0ms (36.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize43.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(-.f64 x (*.f64 y z))
✓	cost-diff	0	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 x (*.f64 y z))

Rules

100×	`fma-define`
56×	`fma-neg`
21×	`cancel-sign-sub-inv`
18×	`sub-neg`
15×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	18	47
2	30	47
3	48	47
4	67	47
5	101	47
6	156	47
7	209	47
8	270	47
9	343	47
10	389	47
11	395	47

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

18.0ms

256×

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (49.9% of total)

ival-sub: 1.0ms (25% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

2 → 33

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(- x (* y z))
1.0ms	z	@	-inf	(- x (* y z))
0.0ms	y	@	inf	(- x (* y z))
0.0ms	x	@	0	(- x (* y z))
0.0ms	x	@	inf	(- x (* y z))

rewrite318.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`prod-diff`
589×	`log1p-expm1-u`
589×	`expm1-log1p-u`
540×	`unpow-prod-down`
305×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	120	35
2	1611	35

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

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

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

simplify248.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac`
353×	`distribute-lft-in`
328×	`distribute-rgt-in`
312×	`exp-prod`
261×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	438	6007
1	1017	5863
2	2439	5834
3	7740	5803

Stop Event

1×	node limit

Counts

209 → 205

Calls

Call 1

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

eval71.0ms (2.1%)

Compiler: Compiled 3547 to 516 computations (85.5% saved)

prune30.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	202	3	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	4	206

Accuracy

100.0%

Counts

206 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
▶	52.8%	(*.f64 z (neg.f64 y))
▶	88.3%	(*.f64 y (-.f64 (/.f64 x y) z))
▶	47.8%	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize279.0ms (8.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 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 x y)
✓	cost-diff	0	(-.f64 (/.f64 x y) z)
✓	cost-diff	128	(*.f64 y (-.f64 (/.f64 x y) z))
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) z)
✓	accuracy	88.3%	(*.f64 y (-.f64 (/.f64 x y) z))

Rules

1548×	`associate-/l/`
1314×	`fma-define`
866×	`fma-neg`
563×	`associate-*r/`
498×	`associate-*l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	115
1	25	115
2	43	115
3	74	115
4	111	112
5	169	106
6	339	106
7	633	106
8	1971	106
9	3706	106
10	4151	106
11	4476	106
12	4576	106
13	4602	106
14	5823	106
15	6467	106
16	7271	106
17	7575	106
18	7689	106
19	7727	106
20	7727	106

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

25.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 4.0ms (43.6% of total)

ival-div: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

ival-neg: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

series60.0ms (1.8%)

Counts

5 → 99

Calls

Call 1

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

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

33 calls:

Time	Variable		Point	Expression
47.0ms	z	@	inf	(* z (neg y))
1.0ms	y	@	-inf	(neg y)
1.0ms	y	@	-inf	(* y (- (/ x y) z))
1.0ms	x	@	inf	(* y (- (/ x y) z))
1.0ms	y	@	0	(* y (- (/ x y) z))

rewrite225.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`log1p-expm1-u`
868×	`expm1-log1p-u`
626×	`prod-diff`
461×	`log-prod`
241×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	187	83
2	2646	83

Stop Event

1×	node limit

Counts

5 → 238

Calls

Call 1

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

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

simplify184.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg`
470×	`associate-*r/`
331×	`cancel-sign-sub-inv`
225×	`associate-+l+`
221×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	8476
1	974	8163
2	3261	8074

Stop Event

1×	node limit

Counts

337 → 303

Calls

Call 1

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

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

eval67.0ms (2%)

Compiler: Compiled 3810 to 814 computations (78.6% saved)

prune44.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	302	1	303
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	302	5	307

Accuracy

100.0%

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	52.8%	(*.f64 z (neg.f64 y))
▶	2.2%	(*.f64 z y)
✓	88.3%	(*.f64 y (-.f64 (/.f64 x y) z))
✓	47.8%	x

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize25.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 z y)
z
y

Outputs
(*.f64 z y)
z
y

Results

11.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (76.8% of total)

const: 0.0ms (0% of total)

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

series147.0ms (4.4%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>

Calls

6 calls:

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

rewrite60.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 z y)

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

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	877
1	160	859
2	460	845
3	2198	845
4	4680	845

Stop Event

1×	node limit

Counts

49 → 35

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 372 to 113 computations (69.6% saved)

prune14.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	35	5	40

Accuracy

100.0%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	52.8%	(*.f64 z (neg.f64 y))
✓	2.2%	(*.f64 z y)
✓	88.3%	(*.f64 y (-.f64 (/.f64 x y) z))
✓	47.8%	x

Compiler

Compiled 58 to 34 computations (41.4% saved)

regimes12.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
2.0ms	x
2.0ms	(-.f64 x (*.f64 y z))
2.0ms	z
2.0ms	(*.f64 y z)

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
75.1%	3	`x`
75.2%	3	`y`
76.8%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -29.2b remaining (-87.5%)

Threshold costs -29.2b (-87.5%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.8%	1	`x`
47.8%	1	`y`
47.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.5701246500845693e+60	1.0627182071660736e+63
11.0ms	-1.4132545570458684e-115	-6.706073114418796e-119

Results

11.0ms

256×

valid

Compiler

Compiled 222 to 170 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (51.5% of total)

ival-sub: 1.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	39	78
2	48	78
3	53	78
4	56	78
5	57	78

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -6210780114830625/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 8500000000000000640226419554599071162905459680735337908273152 binary64)) x (*.f64 z (neg.f64 y))))

Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -6210780114830625/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 8500000000000000640226419554599071162905459680735337908273152 binary64)) x (.f64 z (neg.f64 y))))
(if (or (<=.f64 z #s(literal -6210780114830625/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (not (<=.f64 z #s(literal 8500000000000000640226419554599071162905459680735337908273152 binary64)))) (*.f64 z (neg.f64 y)) x)
(if (or (<=.f64 z #s(literal -6210780114830625/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (not (<=.f64 z #s(literal 8500000000000000640226419554599071162905459680735337908273152 binary64)))) (*.f64 y (neg.f64 z)) x)
x

soundness307.0ms (9.2%)

Rules

484×	`times-frac`
353×	`distribute-lft-in`
328×	`distribute-rgt-in`
312×	`exp-prod`
261×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	438	6007
1	1017	5863
2	2439	5834
3	7740	5803

Stop Event

1×	done
1×	node limit

Compiler

Compiled 43 to 25 computations (41.9% saved)

preprocess44.0ms (1.3%)

Remove: (sort y z)
Compiler: Compiled 150 to 84 computations (44% saved)

Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

analyze0.0ms (0%)

sample839.0ms (25.2%)

preprocess144.0ms (4.3%)

explain50.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (1.3%)

series8.0ms (0.2%)

rewrite318.0ms (9.6%)

simplify248.0ms (7.4%)

eval71.0ms (2.1%)

prune30.0ms (0.9%)

localize279.0ms (8.4%)

series60.0ms (1.8%)

rewrite225.0ms (6.8%)

simplify184.0ms (5.5%)

eval67.0ms (2%)

prune44.0ms (1.3%)

localize25.0ms (0.8%)

series147.0ms (4.4%)

rewrite60.0ms (1.8%)

simplify65.0ms (2%)

eval5.0ms (0.1%)

prune14.0ms (0.4%)

regimes12.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.6%)

simplify5.0ms (0.2%)

soundness307.0ms (9.2%)

preprocess44.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
1	18	47
2	30	47
3	48	47
4	67	47
5	101	47
6	156	47
7	209	47
8	270	47
9	343	47
10	389	47
11	395	47

Iter	Nodes	Cost
0	11	47
1	18	47
2	30	47
3	48	47
4	67	47
5	101	47
6	156	47
7	209	47
8	270	47
9	343	47
10	389	47
11	395	47

Iter	Nodes	Cost
0	11	47
1	18	47
2	30	47
3	48	47
4	67	47
5	101	47
6	156	47
7	209	47
8	270	47
9	343	47
10	389	47
11	395	47