Metrics for Main:bigenough2 from A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample835.0ms (16.2%)

Results

426.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-add: 101.0ms (55.7% of total)

ival-mult: 71.0ms (39.1% of total)

const: 7.0ms (3.9% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess167.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg`
513×	`fma-define`
210×	`distribute-rgt-in`
181×	`unsub-neg`
147×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313

Stop Event

1×

saturated

Calls

Call 1

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

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

explain56.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

32.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-add: 6.0ms (54.4% of total)

ival-mult: 4.0ms (36.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize62.0ms (1.2%)

Algorithm

2×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

66×	`fma-define`
65×	`fma-define`
8×	`associate-r`
8×	`associate-l`
8×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	21	74
2	38	74
3	53	74
4	66	74
5	73	74
6	79	74
7	98	74
8	114	74
9	128	74
10	146	74
11	153	74
12	154	74
0	12	52
1	15	52
2	25	52
3	50	52
4	63	52
5	72	52
6	79	52
7	85	52
8	104	52
9	120	52
10	134	52
11	152	52
12	159	52
13	160	52

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z

Outputs
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z

Call 2

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

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

Results

25.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

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

ival-add: 5.0ms (45.6% of total)

ival-mult: 3.0ms (27.4% of total)

ival-fma: 3.0ms (27.4% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Counts

5 → 150

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* y (+ z x))
1.0ms	z	@	-inf	(* y (+ z x))
1.0ms	z	@	inf	(+ (* y (+ x z)) x)
0.0ms	y	@	inf	(+ x (* y (+ z x)))
0.0ms	z	@	inf	(* y (+ z x))

rewrite246.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`log1p-expm1-u`
977×	`expm1-log1p-u`
527×	`fma-define`
407×	`log-prod`
227×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	102
1	203	102
2	2733	102

Stop Event

1×	node limit

Counts

5 → 277

Calls

Call 1

Inputs
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 z x)
(fma.f64 y (+.f64 x z) x)
(+.f64 x z)

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

simplify177.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-/l*`
362×	`cancel-sign-sub-inv`
304×	`associate-/r*`
291×	`distribute-lft-neg-in`
277×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	14233
1	1101	13204
2	3360	13059

Stop Event

1×	node limit

Counts

427 → 256

Calls

Call 1

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

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

eval31.0ms (0.6%)

Compiler: Compiled 3432 to 764 computations (77.7% saved)

prune52.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	250	6	256
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	251	7	258

Accuracy

100.0%

Counts

258 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	76.0%	(+.f64 x (*.f64 y z))
▶	65.3%	(+.f64 x (*.f64 y x))
	89.5%	(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
▶	65.3%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	40.3%	x

Compiler

Compiled 118 to 74 computations (37.3% saved)

localize93.0ms (1.8%)

Algorithm

5×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 y z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	-6272	(+.f64 x (*.f64 y x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	-6272	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	-6272	(+.f64 x (*.f64 y z))
✓	cost-diff	-6144	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y x))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
✓	accuracy	97.6%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))

Rules

66×	`fma-define`
14×	`fma-define`
10×	`fma-define`
8×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	19	87
2	35	83
3	49	83
4	59	83
5	66	83
6	72	83
7	91	83
8	107	83
9	121	83
10	139	83
11	146	83
12	147	83
0	4	4
0	10	38
1	24	37
2	33	37
3	48	37
4	52	37
5	54	37
0	9	40
1	14	39
2	25	39
3	31	39
4	37	39
5	50	39
6	54	39
7	56	39
0	11	47
1	13	43
2	16	43

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
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 y z x)
x
(*.f64 y z)
y
z

Call 2

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

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

Call 3

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

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

Call 4

Inputs
x

Outputs
x

Call 5

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

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

Results

33.0ms

256×

valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (51% of total)

ival-mult: 6.0ms (51% of total)

const: 0.0ms (0% of total)

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

series70.0ms (1.4%)

Counts

7 → 147

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite191.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`fma-define`
835×	`log1p-expm1-u`
835×	`expm1-log1p-u`
416×	`fma-neg`
205×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	257	121
2	3624	117

Stop Event

1×	node limit

Counts

7 → 335

Calls

Call 1

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

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

simplify192.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-lft-in`
615×	`cancel-sign-sub-inv`
386×	`fma-neg`
384×	`distribute-lft-neg-in`
354×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	581	14459
1	1341	13526
2	3786	13319

Stop Event

1×	node limit

Counts

482 → 364

Calls

Call 1

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

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

eval52.0ms (1%)

Compiler: Compiled 5668 to 856 computations (84.9% saved)

prune74.0ms (1.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	454	3	457
Fresh	0	1	1
Picked	0	5	5
Done	1	0	1
Total	455	9	464

Accuracy

100.0%

Counts

464 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
✓	76.0%	(+.f64 x (*.f64 y z))
✓	65.3%	(+.f64 x (*.f64 y x))
▶	89.5%	(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
▶	61.4%	(*.f64 y (+.f64 z x))
▶	38.5%	(*.f64 y z)
✓	65.3%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	27.1%	(*.f64 x y)
✓	40.3%	x

Compiler

Compiled 74 to 47 computations (36.5% saved)

localize239.0ms (4.6%)

Algorithm

4×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6016	(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 y (/.f64 z x))
✓	cost-diff	256	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
	cost-diff	0	(+.f64 z x)
	cost-diff	0	(*.f64 y (+.f64 z x))
	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y (*.f64 y (/.f64 z x)))
✓	accuracy	100.0%	(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
✓	accuracy	94.0%	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
✓	accuracy	93.5%	(*.f64 y (/.f64 z x))
	accuracy	100.0%	(+.f64 z x)
	accuracy	100.0%	(*.f64 y (+.f64 z x))
	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)

Rules

1556×	`associate-/l*`
1406×	`associate-/r*`
871×	`fma-define`
831×	`associate-/l/`
338×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21
0	8	21
1	9	21
0	11	47
1	19	47
2	25	47
3	27	47
0	14	167
1	26	151
2	63	149
3	127	135
4	202	123
5	290	123
6	507	123
7	1179	123
8	2666	123
9	3397	123
10	3650	123
11	3700	123
12	3700	123
13	4482	123
14	4506	123
15	4507	123
16	4507	123
17	6627	123
18	7134	123

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
x
(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
(+.f64 y (*.f64 y (/.f64 z x)))
y
(*.f64 y (/.f64 z x))
(/.f64 z x)
z

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

Call 2

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

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

Call 3

Inputs
(*.f64 y z)
y
z

Outputs
(*.f64 y z)
y
z

Call 4

Inputs
(*.f64 x y)
x
y

Outputs
(*.f64 x y)
x
y

Results

42.0ms

256×

valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (52.8% of total)

ival-add: 5.0ms (29.3% of total)

ival-div: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite166.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log1p-expm1-u`
781×	`expm1-log1p-u`
632×	`log-prod`
605×	`fma-define`
253×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	168
1	219	152
2	3398	150

Stop Event

1×	node limit

Counts

6 → 295

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 y (/.f64 z x))
(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))
(+.f64 y (*.f64 y (/.f64 z x)))
(/.f64 z x)

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

simplify191.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg`
472×	`distribute-lft-neg-in`
311×	`associate-r`
262×	`associate-l`
228×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	647	14748
1	1522	13836
2	4682	13190

Stop Event

1×	node limit

Counts

439 → 387

Calls

Call 1

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

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

eval77.0ms (1.5%)

Compiler: Compiled 8250 to 1705 computations (79.3% saved)

prune178.0ms (3.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	549	2	551
Fresh	0	0	0
Picked	1	3	4
Done	1	4	5
Total	551	9	560

Accuracy

100.0%

Counts

560 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(+.f64 (.f64 y z) (.f64 y x))
✓	76.0%	(+.f64 x (*.f64 y z))
✓	65.3%	(+.f64 x (*.f64 y x))
✓	61.4%	(*.f64 y (+.f64 z x))
✓	38.5%	(*.f64 y z)
▶	50.9%	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
✓	65.3%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	27.1%	(*.f64 x y)
✓	40.3%	x

Compiler

Compiled 70 to 45 computations (35.7% saved)

localize211.0ms (4.1%)

Algorithm

2×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y x)
	cost-diff	0	(*.f64 y z)
✓	cost-diff	128	(+.f64 (.f64 y z) (.f64 y x))
	cost-diff	-6272	(+.f64 y (*.f64 y (/.f64 z x)))
	cost-diff	0	(/.f64 z x)
	cost-diff	0	(*.f64 y (/.f64 z x))
	cost-diff	256	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
	accuracy	100.0%	(*.f64 y z)
	accuracy	100.0%	(*.f64 y x)
✓	accuracy	97.5%	(+.f64 (.f64 y z) (.f64 y x))
	accuracy	100.0%	(/.f64 z x)
	accuracy	100.0%	(+.f64 y (*.f64 y (/.f64 z x)))
	accuracy	94.0%	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
	accuracy	93.5%	(*.f64 y (/.f64 z x))

Rules

1559×	`associate-/l*`
1413×	`associate-/r*`
831×	`associate-/l/`
565×	`fma-define`
447×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	24	110
2	48	110
3	88	102
4	125	96
5	173	96
6	359	96
7	938	96
8	2271	96
9	2987	96
10	3236	96
11	3285	96
12	3285	96
13	4067	96
14	4091	96
15	4092	96
16	4092	96
17	6206	96
18	6706	96
19	7633	96
0	12	60
1	19	60
2	25	60

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
x
(+.f64 y (*.f64 y (/.f64 z x)))
y
(*.f64 y (/.f64 z x))
(/.f64 z x)
z

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

Results

29.0ms

256×

valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-mult: 8.0ms (60.9% of total)

ival-div: 2.0ms (15.2% of total)

ival-add: 2.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite90.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`unpow-prod-down`
679×	`log1p-expm1-u`
679×	`expm1-log1p-u`
366×	`log-prod`
344×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	140	22
2	1862	22

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

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

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

671×	`times-frac`
453×	`fma-define`
321×	`exp-prod`
308×	`associate-/l*`
277×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4293
1	643	4182
2	1734	4153
3	7145	4122

Stop Event

1×	node limit

Counts

132 → 120

Calls

Call 1

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

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

eval63.0ms (1.2%)

Compiler: Compiled 5924 to 1167 computations (80.3% saved)

prune76.0ms (1.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	410	0	410
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	410	9	419

Accuracy

100.0%

Counts

419 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.7%	(+.f64 (.f64 y z) (.f64 y x))
✓	76.0%	(+.f64 x (*.f64 y z))
✓	65.3%	(+.f64 x (*.f64 y x))
✓	61.4%	(*.f64 y (+.f64 z x))
✓	38.5%	(*.f64 y z)
✓	50.9%	(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
✓	65.3%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	27.1%	(*.f64 x y)
✓	40.3%	x

Compiler

Compiled 149 to 68 computations (54.4% saved)

regimes20.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 y (+.f64 x z) x)

Calls

4 calls:

7.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes20.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (.f64 y z) (.f64 y x))
(.f64 x (+.f64 y (.f64 y (/.f64 z x))))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
(+.f64 x (.f64 x (+.f64 y (.f64 y (/.f64 z x)))))

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

Calls

4 calls:

7.0ms	x
5.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	z
4.0ms	y

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes61.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
10.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
90.1%	3	`x`
98.7%	3	`y`
88.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.4%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
7.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
81.9%	3	`z`
82.6%	3	`x`
88.8%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.8%	5	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
78.0%	3	`z`
80.7%	5	`x`
74.2%	8	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.3%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
69.1%	5	`y`
60.5%	7	`x`
61.8%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
64.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
40.3%	1	`x`
40.3%	1	`z`
40.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.04004163806654263	56.015723492695905
8.0ms	-49342883.86086697	-3894875.792326833

Results

33.0ms

224×

valid

Compiler

Compiled 268 to 179 computations (33.2% saved)

Precisions

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

ival-add: 2.0ms (46.3% of total)

ival-mult: 2.0ms (46.3% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.147507740826942e-12	7.702058325570221e-10
15.0ms	3.985943362638511e-138	9.780853861489321e-132
7.0ms	2.49101297365356e-148	9.336163258564351e-148
8.0ms	-7.688878234402206e-7	-1.1175450593474017e-7

Results

22.0ms

432×

valid

Compiler

Compiled 474 to 332 computations (30% saved)

Precisions

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

ival-add: 5.0ms (57% of total)

ival-mult: 3.0ms (34.2% of total)

const: 0.0ms (0% of total)

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

bsearch167.0ms (3.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.147507740826942e-12	7.702058325570221e-10
12.0ms	3.985943362638511e-138	9.780853861489321e-132
6.0ms	2.49101297365356e-148	9.336163258564351e-148
134.0ms	-7.688878234402206e-7	-1.1175450593474017e-7

Results

25.0ms

432×

valid

Compiler

Compiled 474 to 348 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (58.6% of total)

ival-add: 5.0ms (41.8% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3984457728831116000.0	4.417285351851169e+26
12.0ms	-1.0974268825439715e+154	-2.2320511224043657e+147

Results

16.0ms

288×

valid

Compiler

Compiled 304 to 227 computations (25.3% saved)

Precisions

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

ival-add: 5.0ms (67.1% of total)

ival-mult: 2.0ms (26.8% of total)

const: 0.0ms (0% of total)

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

bsearch99.0ms (1.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	0.04004163806654263	56.015723492695905
8.0ms	-7.688878234402206e-7	-1.1175450593474017e-7
8.0ms	-49342883.86086697	-3894875.792326833
12.0ms	-4.7961712369781746e+91	-1.2039549877397115e+89

Results

23.0ms

448×

valid

Compiler

Compiled 380 to 277 computations (27.1% saved)

Precisions

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

ival-add: 5.0ms (58% of total)

ival-mult: 3.0ms (34.8% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.04004163806654263	56.015723492695905
8.0ms	-795.6664795882544	-79.57110275115441

Results

15.0ms

224×

valid

Compiler

Compiled 184 to 137 computations (25.5% saved)

Precisions

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

ival-add: 2.0ms (44.7% of total)

ival-mult: 2.0ms (44.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	641
1	98	641

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -4000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (.f64 y z)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -4722366482869645/37778931862957161709568 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6703903964971299/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/9671406556917033397649408 binary64)) (+.f64 x (.f64 y x)) (*.f64 y (+.f64 z x))))))
(if (<=.f64 y #s(literal -6989102394647075/37778931862957161709568 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5237424972633827/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 8975065284819007/154742504910672534362390528 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))))
(if (<=.f64 z #s(literal -120000000000000005877207189018062469548667240423689266649405084950820191631206170739347783509673175655173567761781233211446411950239510226052273143808 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 69999999999999999899336704 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -24000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -2115620184325601/18889465931478580854784 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))))
(if (<=.f64 y #s(literal -80 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
x

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -4000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (.f64 y z)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -4000000 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (.f64 y (+.f64 x z)) (+.f64 x (.f64 y z)))
(if (<=.f64 y #s(literal -4722366482869645/37778931862957161709568 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6703903964971299/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/9671406556917033397649408 binary64)) (+.f64 x (.f64 y x)) (*.f64 y (+.f64 z x))))))
(if (<=.f64 y #s(literal -4722366482869645/37778931862957161709568 binary64)) (.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6703903964971299/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 4835703278458517/9671406556917033397649408 binary64)) (+.f64 x (.f64 y x)) (*.f64 y (+.f64 x z))))))
(if (<=.f64 y #s(literal -6989102394647075/37778931862957161709568 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5237424972633827/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 8975065284819007/154742504910672534362390528 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))))
(if (<=.f64 y #s(literal -6989102394647075/37778931862957161709568 binary64)) (.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 6478435864142203/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5237424972633827/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 8975065284819007/154742504910672534362390528 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x z))))))
(if (<=.f64 z #s(literal -120000000000000005877207189018062469548667240423689266649405084950820191631206170739347783509673175655173567761781233211446411950239510226052273143808 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 69999999999999999899336704 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (or (<=.f64 z #s(literal -120000000000000005877207189018062469548667240423689266649405084950820191631206170739347783509673175655173567761781233211446411950239510226052273143808 binary64)) (not (<=.f64 z #s(literal 69999999999999999899336704 binary64)))) (.f64 y z) (.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -24000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -2115620184325601/18889465931478580854784 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -24000000 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -2115620184325601/18889465931478580854784 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 y x)))))
(if (<=.f64 y #s(literal -80 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
(if (or (<=.f64 y #s(literal -80 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y x) x)
x

soundness780.0ms (15.1%)

Rules

994×	`fma-neg`
977×	`log1p-expm1-u`
977×	`expm1-log1p-u`
770×	`distribute-lft-in`
615×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	14233
1	1101	13204
2	3360	13059
0	581	14459
1	1341	13526
2	3786	13319
0	15	102
1	203	102
2	2733	102
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313

Stop Event

1×	done
1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 289 to 112 computations (61.2% saved)

preprocess58.0ms (1.1%)

Compiler: Compiled 366 to 138 computations (62.3% saved)

Iter	Nodes	Cost
0	12	78
1	21	74
2	38	74
3	53	74
4	66	74
5	73	74
6	79	74
7	98	74
8	114	74
9	128	74
10	146	74
11	153	74
12	154	74
0	12	52
1	15	52
2	25	52
3	50	52
4	63	52
5	72	52
6	79	52
7	85	52
8	104	52
9	120	52
10	134	52
11	152	52
12	159	52
13	160	52

Iter	Nodes	Cost
0	13	100
1	19	87
2	35	83
3	49	83
4	59	83
5	66	83
6	72	83
7	91	83
8	107	83
9	121	83
10	139	83
11	146	83
12	147	83
0	4	4
0	10	38
1	24	37
2	33	37
3	48	37
4	52	37
5	54	37
0	9	40
1	14	39
2	25	39
3	31	39
4	37	39
5	50	39
6	54	39
7	56	39
0	11	47
1	13	43
2	16	43

Iter	Nodes	Cost
0	12	78
1	21	74
2	38	74
3	53	74
4	66	74
5	73	74
6	79	74
7	98	74
8	114	74
9	128	74
10	146	74
11	153	74
12	154	74
0	12	52
1	15	52
2	25	52
3	50	52
4	63	52
5	72	52
6	79	52
7	85	52
8	104	52
9	120	52
10	134	52
11	152	52
12	159	52
13	160	52

Iter	Nodes	Cost
0	13	100
1	19	87
2	35	83
3	49	83
4	59	83
5	66	83
6	72	83
7	91	83
8	107	83
9	121	83
10	139	83
11	146	83
12	147	83
0	4	4
0	10	38
1	24	37
2	33	37
3	48	37
4	52	37
5	54	37
0	9	40
1	14	39
2	25	39
3	31	39
4	37	39
5	50	39
6	54	39
7	56	39
0	11	47
1	13	43
2	16	43

analyze0.0ms (0%)

sample835.0ms (16.2%)

preprocess167.0ms (3.2%)

explain56.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize62.0ms (1.2%)

series17.0ms (0.3%)

rewrite246.0ms (4.8%)

simplify177.0ms (3.4%)

eval31.0ms (0.6%)

prune52.0ms (1%)

localize93.0ms (1.8%)

series70.0ms (1.4%)

rewrite191.0ms (3.7%)

simplify192.0ms (3.7%)

eval52.0ms (1%)

prune74.0ms (1.4%)

localize239.0ms (4.6%)

series17.0ms (0.3%)

rewrite166.0ms (3.2%)

simplify191.0ms (3.7%)

eval77.0ms (1.5%)

prune178.0ms (3.5%)

localize211.0ms (4.1%)

series2.0ms (0%)

rewrite90.0ms (1.7%)

simplify122.0ms (2.4%)

eval63.0ms (1.2%)

prune76.0ms (1.5%)

regimes20.0ms (0.4%)

regimes20.0ms (0.4%)

regimes61.0ms (1.2%)

regimes22.0ms (0.4%)

regimes8.0ms (0.2%)

regimes16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

bsearch41.0ms (0.8%)

bsearch41.0ms (0.8%)

bsearch167.0ms (3.2%)

bsearch27.0ms (0.5%)

bsearch99.0ms (1.9%)

bsearch23.0ms (0.4%)

simplify8.0ms (0.2%)

soundness780.0ms (15.1%)

preprocess58.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	78
1	21	74
2	38	74
3	53	74
4	66	74
5	73	74
6	79	74
7	98	74
8	114	74
9	128	74
10	146	74
11	153	74
12	154	74
0	12	52
1	15	52
2	25	52
3	50	52
4	63	52
5	72	52
6	79	52
7	85	52
8	104	52
9	120	52
10	134	52
11	152	52
12	159	52
13	160	52

Iter	Nodes	Cost
0	13	100
1	19	87
2	35	83
3	49	83
4	59	83
5	66	83
6	72	83
7	91	83
8	107	83
9	121	83
10	139	83
11	146	83
12	147	83
0	4	4
0	10	38
1	24	37
2	33	37
3	48	37
4	52	37
5	54	37
0	9	40
1	14	39
2	25	39
3	31	39
4	37	39
5	50	39
6	54	39
7	56	39
0	11	47
1	13	43
2	16	43