Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

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 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.5s (23.7%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-sub: 445.0ms (58.5% of total)

ival-mult: 152.0ms (20% of total)

ival-add: 149.0ms (19.6% of total)

const: 11.0ms (1.4% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess211.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1182×	`fma-neg`
303×	`fma-define`
196×	`distribute-rgt-in`
196×	`unsub-neg`
132×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain373.0ms (5.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

179.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (56.2% of total)

ival-sub: 3.0ms (21.1% of total)

ival-add: 2.0ms (14.1% of total)

const: 1.0ms (7% of total)

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

eval1.0ms (0%)

Compiler: Compiled 39 to 16 computations (59% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	98.8%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 31 to 19 computations (38.7% saved)

localize178.0ms (2.8%)

Algorithm

3×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 x (-.f64 y z) z)
✓	cost-diff	-6272	(-.f64 z (*.f64 x (-.f64 z y)))
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(*.f64 x (-.f64 z y))
✓	cost-diff	-6144	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(fma.f64 x (-.f64 y z) z)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	98.9%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

346×	`fma-define`
298×	`fma-neg`
271×	`fma-define`
251×	`fma-neg`
250×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	27	88
2	40	88
3	67	88
4	136	84
5	228	82
6	358	82
7	572	82
8	977	82
9	1165	82
10	1224	82
11	1234	82
0	12	78
1	21	78
2	48	78
3	142	74
4	303	74
5	550	74
6	859	74
7	1138	74
8	1246	74
9	1254	74
0	12	52
1	17	52
2	30	52
3	59	52
4	107	52
5	181	52
6	293	52
7	489	52
8	876	52
9	1112	52
10	1212	52
11	1219	52

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Results

37.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 6.0ms (37.6% of total)

ival-mult: 6.0ms (37.6% of total)

ival-fma: 3.0ms (18.8% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Counts

9 → 210

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* (- 1 x) z)
1.0ms	y	@	inf	(- z (* x (- z y)))
1.0ms	z	@	inf	(- z y)
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	z	@	inf	(* (- 1 x) z)

rewrite888.0ms (13.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1107×	`log1p-expm1-u`
887×	`expm1-log1p-u`
149×	`add-cube-cbrt`
146×	`add-exp-log`
145×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	181
1	308	181
2	4683	181

Stop Event

1×	node limit

Counts

9 → 256

Calls

Call 1

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

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

simplify205.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-define`
337×	`sub-neg`
285×	`associate-l`
279×	`associate-r`
249×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	680	14460
1	1684	13796
2	5923	13736

Stop Event

1×	node limit

Counts

466 → 379

Calls

Call 1

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

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

eval46.0ms (0.7%)

Compiler: Compiled 5168 to 1102 computations (78.7% saved)

prune88.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	371	8	379
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	374	8	382

Accuracy

100.0%

Counts

382 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(fma.f64 x y z)
▶	60.5%	(-.f64 z (*.f64 z x))
	77.2%	(-.f64 z (*.f64 y (neg.f64 x)))
▶	62.9%	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
	60.5%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	64.1%	(*.f64 x (-.f64 y z))
	42.0%	(*.f64 x y)
▶	37.7%	z

Compiler

Compiled 122 to 80 computations (34.4% saved)

localize142.0ms (2.2%)

Algorithm

5×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 (neg.f64 x) z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	192	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 z (*.f64 z x))
	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(fma.f64 x y z)
✓	accuracy	100.0%	(*.f64 (neg.f64 x) z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	98.9%	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 z (*.f64 z x))
	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	100.0%	(fma.f64 x y z)

Rules

190×	`fma-define`
173×	`fma-define`
132×	`fma-neg`
127×	`fma-define`
96×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	13	30
2	15	30
3	16	30
0	4	4
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	9	43
1	16	43
2	28	43
3	49	42
4	78	40
5	142	40
6	236	40
7	340	40
8	437	40
9	513	40
0	14	81
1	25	81
2	39	72
3	70	72
4	104	72
5	150	72
6	279	72
7	479	72
8	587	72
9	666	72
10	680	72

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

Inputs
z

Outputs
z

Call 5

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

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

Results

39.0ms

256×

valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (44.2% of total)

ival-fma: 4.0ms (22.1% of total)

ival-sub: 3.0ms (16.6% of total)

ival-add: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

7 → 180

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite179.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log1p-expm1-u`
764×	`expm1-log1p-u`
643×	`fma-define`
326×	`fma-neg`
198×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	286	111
2	4307	110

Stop Event

1×	node limit

Counts

7 → 408

Calls

Call 1

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

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

simplify249.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-neg`
528×	`distribute-lft-neg-in`
502×	`distribute-rgt-neg-in`
348×	`associate-l`
321×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	18836
1	1176	16733
2	4607	16537

Stop Event

1×	node limit

Counts

588 → 366

Calls

Call 1

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

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

eval56.0ms (0.9%)

Compiler: Compiled 5598 to 910 computations (83.7% saved)

prune195.0ms (3.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	428	3	431
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	430	9	439

Accuracy

100.0%

Counts

439 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(fma.f64 x y z)
▶	62.9%	(-.f64 (.f64 x y) (.f64 x z))
✓	60.5%	(-.f64 z (*.f64 z x))
▶	77.2%	(+.f64 (*.f64 x y) z)
▶	60.5%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	24.9%	(*.f64 z (neg.f64 x))
✓	64.1%	(*.f64 x (-.f64 y z))
▶	42.0%	(*.f64 x y)
✓	37.7%	z

Compiler

Compiled 105 to 69 computations (34.3% saved)

localize153.0ms (2.4%)

Algorithm

5×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(-.f64 (.f64 x y) (.f64 x z))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 z (-.f64 #s(literal 1 binary64) x))
	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	-6272	(+.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.9%	(-.f64 (.f64 x y) (.f64 x z))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
	accuracy	100.0%	(neg.f64 x)
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)

Rules

192×	`fma-define`
146×	`fma-define`
134×	`fma-neg`
61×	`fma-neg`
38×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	15	43
2	16	43
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33
0	10	38
1	19	38
2	29	38
3	50	38
4	101	38
5	144	38
6	209	38
7	292	38
8	447	38
9	491	38
10	520	38
11	524	38
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

Inputs
(*.f64 x y)
x
y

Outputs
(*.f64 x y)
x
y

Call 5

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

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

Results

39.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

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

ival-mult: 8.0ms (45.9% of total)

ival-sub: 7.0ms (40.1% of total)

ival-add: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

5 → 105

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite175.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log1p-expm1-u`
756×	`expm1-log1p-u`
653×	`fma-define`
324×	`fma-neg`
198×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	279	85
2	3942	85

Stop Event

1×	node limit

Counts

5 → 270

Calls

Call 1

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

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

simplify163.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

489×	`cancel-sign-sub-inv`
469×	`fma-neg`
469×	`distribute-lft-in`
449×	`distribute-rgt-in`
290×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	11754
1	1100	10869
2	3009	10129

Stop Event

1×	node limit

Counts

375 → 327

Calls

Call 1

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

Outputs
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
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(*.f64 x (+.f64 y (/.f64 z x)))
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(*.f64 z x)
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 z x)

eval56.0ms (0.9%)

Compiler: Compiled 5502 to 833 computations (84.9% saved)

prune78.0ms (1.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	436	0	436
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	436	9	445

Accuracy

100.0%

Counts

445 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(fma.f64 x y z)
✓	62.9%	(-.f64 (.f64 x y) (.f64 x z))
✓	60.5%	(-.f64 z (*.f64 z x))
✓	77.2%	(+.f64 (*.f64 x y) z)
✓	60.5%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	24.9%	(*.f64 z (neg.f64 x))
✓	64.1%	(*.f64 x (-.f64 y z))
✓	42.0%	(*.f64 x y)
✓	37.7%	z

Compiler

Compiled 144 to 70 computations (51.4% saved)

regimes22.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
5.0ms	y
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms	z
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
89.5%	3	`y`
91.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.0%	3	`y`
84.8%	3	`z`
86.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
56.6%	3	`y`
61.6%	3	`z`
64.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.7%	1	`y`
37.7%	1	`z`
37.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.0542703887306314e-16	5.952245556437435e-9
16.0ms	-7.121613667477925e+19	-0.006457509805968794

Results

19.0ms

320×

valid

Compiler

Compiled 378 to 253 computations (33.1% saved)

Precisions

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

ival-mult: 5.0ms (58.3% of total)

ival-sub: 2.0ms (23.3% of total)

ival-add: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.0542703887306314e-16	5.952245556437435e-9
9.0ms	-5.937710724881022e-63	-1.9652321561179531e-63

Results

13.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-mult: 4.0ms (61% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% 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
13.0ms	4.0542703887306314e-16	5.952245556437435e-9
7.0ms	-5.937710724881022e-63	-1.9652321561179531e-63

Results

13.0ms

224×

valid

Compiler

Compiled 214 to 153 computations (28.5% saved)

Precisions

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

ival-mult: 3.0ms (49.8% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.885582622778196e-27	3.61708854149788e-25
14.0ms	-8.349148151860133e-22	-1.0522948794227433e-29

Results

19.0ms

256×

valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.3% of total)

ival-sub: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

59×	`unsub-neg`
56×	`distribute-lft-neg-in`
41×	`neg-mul-1`
29×	`neg-sub0`
23×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	314
1	83	314
2	100	314
3	113	314
4	134	314
5	159	314
6	181	314
7	216	314
8	260	314
9	276	314
10	293	314
11	307	314
12	318	314
13	338	314
14	360	314
15	385	314
16	418	314
17	456	314
18	463	314
19	464	314

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7011769753764849/1208925819614629174706176 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7410693711188237/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 2535301200456459/158456325028528675187087900672 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1250554563763015/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4040636288227481/39614081257132168796771975168 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -3832940580997451/348449143727040986586495598010130648530944 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 3832940580997451/174224571863520493293247799005065324265472 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7011769753764849/1208925819614629174706176 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 7011769753764849/1208925819614629174706176 binary64)))) (.f64 x (-.f64 y z)) (+.f64 z (.f64 x y)))
(if (<=.f64 x #s(literal -7410693711188237/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 2535301200456459/158456325028528675187087900672 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -7410693711188237/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (not (<=.f64 x #s(literal 2535301200456459/158456325028528675187087900672 binary64)))) (.f64 x (-.f64 y z)) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1250554563763015/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4040636288227481/39614081257132168796771975168 binary64)) z (.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -1250554563763015/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (not (<=.f64 x #s(literal 4040636288227481/39614081257132168796771975168 binary64)))) (*.f64 x (-.f64 y z)) z)
(if (<=.f64 x #s(literal -3832940580997451/348449143727040986586495598010130648530944 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 3832940580997451/174224571863520493293247799005065324265472 binary64)) z (.f64 x y)))
(if (or (<=.f64 x #s(literal -3832940580997451/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 x #s(literal 3832940580997451/174224571863520493293247799005065324265472 binary64)))) (*.f64 x y) z)
z

soundness1.1s (17.1%)

Rules

1182×	`fma-neg`
764×	`log1p-expm1-u`
764×	`expm1-log1p-u`
643×	`fma-define`
354×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	286	111
2	4307	110
0	680	14460
1	1684	13796
2	5923	13736
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

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

Compiler

Compiled 368 to 133 computations (63.9% saved)

preprocess44.0ms (0.7%)

Compiler: Compiled 190 to 96 computations (49.5% saved)

Iter	Nodes	Cost
0	10	30
1	13	30
2	15	30
3	16	30
0	4	4
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	9	43
1	16	43
2	28	43
3	49	42
4	78	40
5	142	40
6	236	40
7	340	40
8	437	40
9	513	40
0	14	81
1	25	81
2	39	72
3	70	72
4	104	72
5	150	72
6	279	72
7	479	72
8	587	72
9	666	72
10	680	72

Iter	Nodes	Cost
0	11	43
1	15	43
2	16	43
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33
0	10	38
1	19	38
2	29	38
3	50	38
4	101	38
5	144	38
6	209	38
7	292	38
8	447	38
9	491	38
10	520	38
11	524	38
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

Iter	Nodes	Cost
0	48	314
1	83	314
2	100	314
3	113	314
4	134	314
5	159	314
6	181	314
7	216	314
8	260	314
9	276	314
10	293	314
11	307	314
12	318	314
13	338	314
14	360	314
15	385	314
16	418	314
17	456	314
18	463	314
19	464	314

Iter	Nodes	Cost
0	10	30
1	13	30
2	15	30
3	16	30
0	4	4
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	9	43
1	16	43
2	28	43
3	49	42
4	78	40
5	142	40
6	236	40
7	340	40
8	437	40
9	513	40
0	14	81
1	25	81
2	39	72
3	70	72
4	104	72
5	150	72
6	279	72
7	479	72
8	587	72
9	666	72
10	680	72

Iter	Nodes	Cost
0	11	43
1	15	43
2	16	43
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33
0	10	38
1	19	38
2	29	38
3	50	38
4	101	38
5	144	38
6	209	38
7	292	38
8	447	38
9	491	38
10	520	38
11	524	38
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

Iter	Nodes	Cost
0	48	314
1	83	314
2	100	314
3	113	314
4	134	314
5	159	314
6	181	314
7	216	314
8	260	314
9	276	314
10	293	314
11	307	314
12	318	314
13	338	314
14	360	314
15	385	314
16	418	314
17	456	314
18	463	314
19	464	314

analyze0.0ms (0%)

sample1.5s (23.7%)

preprocess211.0ms (3.3%)

explain373.0ms (5.9%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize178.0ms (2.8%)

series33.0ms (0.5%)

rewrite888.0ms (13.9%)

simplify205.0ms (3.2%)

eval46.0ms (0.7%)

prune88.0ms (1.4%)

localize142.0ms (2.2%)

series14.0ms (0.2%)

rewrite179.0ms (2.8%)

simplify249.0ms (3.9%)

eval56.0ms (0.9%)

prune195.0ms (3.1%)

localize153.0ms (2.4%)

series8.0ms (0.1%)

rewrite175.0ms (2.7%)

simplify163.0ms (2.6%)

eval56.0ms (0.9%)

prune78.0ms (1.2%)

regimes22.0ms (0.3%)

regimes20.0ms (0.3%)

regimes12.0ms (0.2%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch32.0ms (0.5%)

bsearch24.0ms (0.4%)

bsearch23.0ms (0.4%)

bsearch30.0ms (0.5%)

simplify38.0ms (0.6%)

soundness1.1s (17.1%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	30
1	13	30
2	15	30
3	16	30
0	4	4
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	9	43
1	16	43
2	28	43
3	49	42
4	78	40
5	142	40
6	236	40
7	340	40
8	437	40
9	513	40
0	14	81
1	25	81
2	39	72
3	70	72
4	104	72
5	150	72
6	279	72
7	479	72
8	587	72
9	666	72
10	680	72

Iter	Nodes	Cost
0	11	43
1	15	43
2	16	43
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33
0	10	38
1	19	38
2	29	38
3	50	38
4	101	38
5	144	38
6	209	38
7	292	38
8	447	38
9	491	38
10	520	38
11	524	38
0	12	60
1	24	60
2	41	60
3	60	60
4	96	60
5	148	60
6	259	60
7	426	60
8	618	60
9	697	60
10	711	60

Iter	Nodes	Cost
0	48	314
1	83	314
2	100	314
3	113	314
4	134	314
5	159	314
6	181	314
7	216	314
8	260	314
9	276	314
10	293	314
11	307	314
12	318	314
13	338	314
14	360	314
15	385	314
16	418	314
17	456	314
18	463	314
19	464	314