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)

sample1.1s (34.3%)

Results

918.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-mult: 252.0ms (72.2% of total)

ival-sub: 88.0ms (25.2% of total)

const: 7.0ms (2% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess66.0ms (2.1%)

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)

explain60.0ms (1.9%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

29.0ms

512×

valid

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

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

ival-mult: 6.0ms (66.5% of total)

ival-sub: 3.0ms (33.3% of total)

const: 0.0ms (0% of total)

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

eval11.0ms (0.4%)

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

prune2.0ms (0.1%)

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)

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

localize22.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

16.0ms

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 (49.3% of total)

ival-sub: 1.0ms (24.7% 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 y z)>
#<alt (-.f64 x (*.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	x	@	-inf	(- x (* y z))
1.0ms	z	@	-inf	(* y z)
0.0ms	y	@	0	(* y z)
0.0ms	y	@	inf	(* y z)
0.0ms	y	@	-inf	(* y z)

rewrite323.0ms (10.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`prod-diff`
589×	`log1p-expm1-u`
589×	`expm1-log1p-u`
541×	`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 → 179

Calls

Call 1

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

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

simplify282.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac`
362×	`distribute-lft-in`
333×	`distribute-rgt-in`
294×	`exp-prod`
273×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	445	6155
1	1011	6011
2	2432	5982
3	7662	5951

Stop Event

1×	node limit

Counts

212 → 217

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

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

eval27.0ms (0.8%)

Compiler: Compiled 3770 to 572 computations (84.8% saved)

prune45.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	214	3	217
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	214	4	218

Accuracy

100.0%

Counts

218 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
▶	44.8%	(*.f64 (neg.f64 y) z)
▶	82.1%	(*.f64 y (-.f64 (/.f64 x y) z))
▶	57.3%	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify246.0ms (7.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 (neg.f64 y) z)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 (/.f64 x y) z)
✓	cost-diff	128	(*.f64 y (-.f64 (/.f64 x y) z))

Rules

1548×	`associate-/l/`
1316×	`fma-define`
866×	`fma-neg`
557×	`associate-*r/`
499×	`associate-*l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	115
1	25	115
2	42	115
3	72	115
4	109	112
5	167	106
6	337	106
7	638	106
8	1941	106
9	3668	106
10	4106	106
11	4431	106
12	4531	106
13	4557	106
14	5754	106
15	6398	106
16	7202	106
17	7506	106
18	7620	106
19	7658	106
20	7658	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 (neg.f64 y) z)
(neg.f64 y)
y
z

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

localize41.0ms (1.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 y) z)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) z)
✓	accuracy	82.1%	(*.f64 y (-.f64 (/.f64 x y) z))

Results

24.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 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)

series14.0ms (0.4%)

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

Calls

33 calls:

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

rewrite127.0ms (4%)

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	2645	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)
(*.f64 (neg.f64 y) 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 z))
(+.f64 (.f64 (/.f64 x y) y) (.f64 (neg.f64 z) y))
(+.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))
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(*.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) (*.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 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #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)))
(+.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)))

simplify216.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg`
478×	`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	8466
1	974	8163
2	3268	8074

Stop Event

1×	node limit

Counts

337 → 302

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) (.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 -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 0 binary64) (*.f64 y (-.f64 (/.f64 x y) z)))
(+.f64 (.f64 y (/.f64 x y)) (.f64 y z))
(+.f64 (.f64 (/.f64 x y) y) (.f64 (neg.f64 z) y))
(+.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 z))
(fma.f64 (/.f64 x y) y (*.f64 (neg.f64 z) y))
(+.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) (*.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 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #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)))
(+.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)))

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

eval94.0ms (3%)

Compiler: Compiled 3778 to 812 computations (78.5% saved)

prune43.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	302	4	306

Accuracy

100.0%

Counts

306 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	44.8%	(*.f64 (neg.f64 y) z)
✓	82.1%	(*.f64 y (-.f64 (/.f64 x y) z))
✓	57.3%	x

Compiler

Compiled 49 to 29 computations (40.8% saved)

regimes12.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
79.1%	3	`x`
76.6%	3	`y`
73.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
57.3%	1	`z`
57.3%	1	`y`
57.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.461872274868258e+69	1.7481825323283138e+76
9.0ms	-4.822646466187207e-68	-7.318028729364472e-69

Results

12.0ms

240×

valid

Compiler

Compiled 209 to 160 computations (23.4% saved)

Precisions

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

ival-mult: 2.0ms (54.9% of total)

ival-sub: 1.0ms (27.4% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (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	75
1	37	75
2	46	75
3	51	75
4	54	75
5	55	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -5099505842092539/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 x #s(literal 3099999999999999841723567566268414301504203882326922157421670936084480 binary64)) (*.f64 (neg.f64 y) z) x))

Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -5099505842092539/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 x #s(literal 3099999999999999841723567566268414301504203882326922157421670936084480 binary64)) (*.f64 (neg.f64 y) z) x))
(if (<=.f64 x #s(literal -5099505842092539/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 x #s(literal 3099999999999999841723567566268414301504203882326922157421670936084480 binary64)) (*.f64 z (neg.f64 y)) x))
(if (<=.f64 x #s(literal -5099505842092539/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) x (if (<=.f64 x #s(literal 3099999999999999841723567566268414301504203882326922157421670936084480 binary64)) (*.f64 y (neg.f64 z)) x))
x

soundness347.0ms (11%)

Rules

484×	`times-frac`
362×	`distribute-lft-in`
333×	`distribute-rgt-in`
294×	`exp-prod`
273×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	445	6155
1	1011	6011
2	2432	5982
3	7662	5951

Stop Event

1×	done
1×	node limit

Compiler

Compiled 40 to 23 computations (42.5% saved)

preprocess35.0ms (1.1%)

Remove: (sort y z)
Compiler: Compiled 150 to 82 computations (45.3% saved)

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

analyze0.0ms (0%)

sample1.1s (34.3%)

preprocess66.0ms (2.1%)

explain60.0ms (1.9%)

eval11.0ms (0.4%)

prune2.0ms (0.1%)

simplify19.0ms (0.6%)

localize22.0ms (0.7%)

series8.0ms (0.2%)

rewrite323.0ms (10.2%)

simplify282.0ms (8.9%)

eval27.0ms (0.8%)

prune45.0ms (1.4%)

simplify246.0ms (7.8%)

localize41.0ms (1.3%)

series14.0ms (0.4%)

rewrite127.0ms (4%)

simplify216.0ms (6.8%)

eval94.0ms (3%)

prune43.0ms (1.4%)

regimes12.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch21.0ms (0.7%)

simplify6.0ms (0.2%)

soundness347.0ms (11%)

preprocess35.0ms (1.1%)

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