Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-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)

sample599.0ms (11.7%)

Results

409.0ms

8256×

valid

Precisions

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

ival-mult: 64.0ms (35.4% of total)

ival-sub: 61.0ms (33.7% of total)

ival-add: 46.0ms (25.4% of total)

const: 7.0ms (3.9% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess195.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-neg`
318×	`fma-define`
241×	`distribute-rgt-in`
186×	`unsub-neg`
170×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	377
1	78	321
2	237	317
3	836	317
4	1871	317
5	3198	317
6	3494	317
7	3526	317
8	3526	317
9	4161	317
10	4161	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain99.0ms (1.9%)

FPErrors

Click to see full error table

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

Results

73.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-mult: 7.0ms (49.8% of total)

ival-sub: 3.0ms (21.3% of total)

ival-add: 3.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (-.f64 z x) x)
▶	99.9%	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

271×	`fma-define`
251×	`fma-neg`
52×	`cancel-sign-sub-inv`
48×	`distribute-rgt-in`
44×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	126
1	19	126
2	31	126
3	59	126
4	107	126
5	181	126
6	293	126
7	489	126
8	881	126
9	1117	126
10	1217	126
11	1224	126

Stop Event

1×

saturated

Calls

Call 1

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

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

localize510.0ms (10%)

Localize:

Found 5 expressions of interest:

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

Results

501.0ms

256×

valid

Compiler

Compiled 34 to 8 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-fma: 482.0ms (98.9% of total)

ival-sub: 2.0ms (0.4% of total)

ival-mult: 2.0ms (0.4% of total)

ival-add: 1.0ms (0.2% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Counts

4 → 114

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite270.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log1p-expm1-u`
807×	`expm1-log1p-u`
655×	`unpow-prod-down`
367×	`log-prod`
362×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	168	89
2	2153	89

Stop Event

1×	node limit

Counts

4 → 278

Calls

Call 1

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

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

simplify186.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-neg`
320×	`cancel-sign-sub-inv`
297×	`unswap-sqr`
289×	`associate-+r+`
272×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	15183
1	1189	13693
2	3672	13461

Stop Event

1×	node limit

Counts

392 → 299

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x y) z))))
(.f64 z (+.f64 y (neg.f64 (.f64 x (/.f64 y z)))))
(.f64 z (-.f64 y (.f64 x (/.f64 y z))))
(*.f64 y z)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y z))
(*.f64 y (-.f64 z x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x)))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x)))))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x)))))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x)))))
(.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
z
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(+.f64 z (*.f64 #s(literal -1 binary64) x))
(-.f64 z x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z 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) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 z x)))
(*.f64 y z)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y))) (*.f64 y z))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x))) #s(literal 1 binary64))))
(.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x))) #s(literal 1 binary64))))
(.f64 x (+.f64 (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) x))) #s(literal 1 binary64))))
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(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 7 binary64)) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (.f64 (fma.f64 y (-.f64 z x) x) (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (-.f64 z x)) x))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x y) (-.f64 z x)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (-.f64 z x)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (-.f64 z x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (-.f64 z x)) x))
(pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(pow.f64 (/.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (.f64 y (-.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (-.f64 z x)) x))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (-.f64 z x) x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 z x)) y)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (-.f64 z x))))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (-.f64 z x)))) (exp.f64 x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (-.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)

eval48.0ms (0.9%)

Compiler: Compiled 6420 to 1086 computations (83.1% saved)

prune198.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	429	6	435
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	430	7	437

Accuracy

100.0%

Counts

437 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
✓	99.9%	(+.f64 x (*.f64 y (-.f64 z x)))
▶	60.6%	(+.f64 x (*.f64 y (neg.f64 x)))
▶	74.5%	(+.f64 x (*.f64 y z))
	87.5%	(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
▶	60.6%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	34.8%	x

Compiler

Compiled 118 to 76 computations (35.6% saved)

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	64	(+.f64 x (*.f64 y (neg.f64 x)))
✓	cost-diff	-6272	(+.f64 x (*.f64 y z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 (neg.f64 x) y)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	192	(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))

Rules

341×	`fma-define`
279×	`fma-neg`
44×	`cancel-sign-sub-inv`
41×	`distribute-rgt-in`
40×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	252
1	50	236
2	90	236
3	149	236
4	258	236
5	441	236
6	753	236
7	1066	236
8	1216	236
9	1233	236

Stop Event

1×

saturated

Calls

Call 1

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

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

localize60.0ms (1.2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
✓	accuracy	98.6%	(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))

Results

44.0ms

256×

valid

Compiler

Compiled 71 to 16 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (45.9% of total)

ival-add: 7.0ms (35.7% of total)

ival-sub: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Counts

11 → 231

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(+ (* z y) (* (neg x) y))
2.0ms	x	@	0	(* x (- 1 y))
1.0ms	y	@	0	(+ (* z y) (* (neg x) y))
1.0ms	y	@	inf	(+ (* z y) (* (neg x) y))
1.0ms	z	@	0	(+ (* z y) (* (neg x) y))

rewrite176.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`log1p-expm1-u`
812×	`expm1-log1p-u`
147×	`add-cube-cbrt`
145×	`add-exp-log`
144×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	199
1	367	169
2	5024	169

Stop Event

1×	node limit

Counts

11 → 347

Calls

Call 1

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

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

simplify203.0ms (4%)

Algorithm

1×	egg-herbie

Rules

597×	`distribute-lft-neg-in`
368×	`associate-l`
366×	`fma-define`
345×	`associate-r`
253×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	15512
1	1453	14910
2	5999	14858

Stop Event

1×	node limit

Counts

578 → 390

Calls

Call 1

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

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

eval59.0ms (1.2%)

Compiler: Compiled 5287 to 1142 computations (78.4% saved)

prune57.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	417	4	421
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	420	8	428

Accuracy

100.0%

Counts

428 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.6%	(-.f64 x (*.f64 y x))
▶	98.4%	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	99.9%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	74.5%	(+.f64 x (*.f64 y z))
▶	62.1%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	60.6%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	27.4%	(*.f64 x (neg.f64 y))
✓	34.8%	x

Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 x (*.f64 y x))
✓	cost-diff	-6144	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	cost-diff	0	(*.f64 y x)
	cost-diff	0	(*.f64 z y)
✓	cost-diff	128	(-.f64 (.f64 z y) (.f64 y x))
✓	cost-diff	-6144	(*.f64 y (+.f64 z (/.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 z (/.f64 x y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))

Rules

524×	`div-sub`
373×	`fma-define`
371×	`fma-neg`
364×	`associate-*l/`
320×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	263
1	45	245
2	77	240
3	145	231
4	231	225
5	397	225
6	909	225
7	2520	225
8	5808	225
9	7908	225

Stop Event

1×	node limit

Calls

Call 1

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

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

localize54.0ms (1.1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	accuracy	98.6%	(-.f64 (.f64 z y) (.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 z (/.f64 x y))
✓	accuracy	87.5%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)

Results

39.0ms

256×

valid

Compiler

Compiled 65 to 14 computations (78.5% saved)

Precisions

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

ival-mult: 7.0ms (42.8% of total)

ival-add: 3.0ms (18.4% of total)

ival-div: 2.0ms (12.2% of total)

ival-sub: 2.0ms (12.2% of total)

ival-neg: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Counts

9 → 213

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(- (* z y) (* y x))
4.0ms	x	@	-inf	(- (* z y) (* y x))
0.0ms	y	@	-inf	(* y (+ z (/ x y)))
0.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	inf	(+ z (/ x y))

rewrite173.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`log1p-expm1-u`
707×	`expm1-log1p-u`
154×	`add-cube-cbrt`
151×	`add-exp-log`
151×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	201
1	333	168
2	5279	168

Stop Event

1×	node limit

Counts

9 → 292

Calls

Call 1

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

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

simplify453.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-l`
454×	`associate-r`
387×	`fma-define`
275×	`exp-prod`
265×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	641	15921
1	1530	14573
2	6976	14573

Stop Event

1×	node limit

Counts

505 → 447

Calls

Call 1

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

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

eval71.0ms (1.4%)

Compiler: Compiled 6231 to 1255 computations (79.9% saved)

prune143.0ms (2.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	460	2	462
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	460	10	470

Accuracy

100.0%

Counts

470 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.6%	(-.f64 x (*.f64 y x))
✓	98.4%	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	99.9%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	74.5%	(+.f64 x (*.f64 y z))
✓	62.1%	(*.f64 y (+.f64 z (/.f64 x y)))
▶	42.1%	(*.f64 y z)
✓	60.6%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	27.4%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 x y)
✓	34.8%	x

Compiler

Compiled 79 to 51 computations (35.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	13	42

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Results

16.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (91.2% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 0

Calls

Call 1

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

Outputs

Calls

12 calls:

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

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`unpow-prod-down`
423×	`log1p-expm1-u`
423×	`expm1-log1p-u`
404×	`add-exp-log`
389×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	105	26
2	1176	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-define`
718×	`prod-exp`
272×	`*-commutative`
232×	`exp-sum`
230×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	854
1	202	854
2	468	854
3	1893	854
4	4398	854
5	7095	854

Stop Event

1×	node limit

Counts

42 → 52

Calls

Call 1

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

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

eval6.0ms (0.1%)

Compiler: Compiled 421 to 142 computations (66.3% saved)

prune61.0ms (1.2%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	52	10	62

Accuracy

100.0%

Counts

62 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.6%	(-.f64 x (*.f64 y x))
✓	98.4%	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	99.9%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	74.5%	(+.f64 x (*.f64 y z))
✓	62.1%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	42.1%	(*.f64 y z)
✓	60.6%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	27.4%	(*.f64 x (neg.f64 y))
✓	3.6%	(*.f64 x y)
✓	34.8%	x

Compiler

Compiled 162 to 82 computations (49.4% saved)

regimes20.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes19.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
88.6%	3	`x`
80.3%	4	`y`
87.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
74.1%	3	`z`
80.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
57.1%	4	`z`
64.4%	4	`y`
58.6%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -20.7b remaining (-49.7%)

Threshold costs -20.7b (-49.7%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
x

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
34.8%	1	`z`
34.8%	1	`x`
34.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0911933614668717e+31	7.79412636331141e+34
13.0ms	-8.925979030352344e+22	-78090554843.33183

Results

15.0ms

288×

valid

Compiler

Compiled 340 to 245 computations (27.9% saved)

Precisions

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

ival-sub: 2.0ms (34% of total)

ival-add: 2.0ms (34% of total)

ival-mult: 2.0ms (34% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3193397367438255e-52	4.7880650686665725e-51
9.0ms	-1.7075844119449742e-78	-1.4871564559204511e-80

Results

11.0ms

224×

valid

Compiler

Compiled 240 to 179 computations (25.4% saved)

Precisions

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

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

ival-sub: 1.0ms (22.4% of total)

ival-add: 1.0ms (22.4% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.0478623162961407e-97	1.039299394196565e-88
16.0ms	-5.289374853538307e-135	-3.1604987818622537e-140
10.0ms	-3.8739978485203564e+145	-2.182096458208572e+142

Results

25.0ms

416×

valid

Compiler

Compiled 352 to 261 computations (25.9% saved)

Precisions

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

ival-sub: 3.0ms (35.9% of total)

ival-mult: 3.0ms (35.9% of total)

ival-add: 2.0ms (23.9% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0478623162961407e-97	1.039299394196565e-88
13.0ms	-5.289374853538307e-135	-3.1604987818622537e-140

Results

18.0ms

288×

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

Precisions

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

ival-add: 3.0ms (38.8% of total)

ival-sub: 2.0ms (25.9% of total)

ival-mult: 2.0ms (25.9% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
8×	`if-if-or-not`
7×	`+-commutative`
5×	`sub-neg`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	322
1	85	322
2	96	322
3	102	322
4	104	322

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 x #s(literal -160000000000000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 16499999999999999624408868061184 binary64)) (+.f64 x (.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -3027886312303931/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 3757668132438133/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) x (*.f64 y z))))
(if (<=.f64 y #s(literal -8510815580529969/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 7310526838468353/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) x (.f64 y z)))
x

Outputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 x #s(literal -160000000000000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 16499999999999999624408868061184 binary64)) (+.f64 x (.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 x #s(literal -160000000000000 binary64)) (not (<=.f64 x #s(literal 16499999999999999624408868061184 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 x (.f64 y z)))
(if (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 y z))
(if (<=.f64 y #s(literal -11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -3027886312303931/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 3757668132438133/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) x (*.f64 y z))))
(if (<=.f64 y #s(literal -11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (neg.f64 y)) (if (or (<=.f64 y #s(literal -3027886312303931/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (not (<=.f64 y #s(literal 3757668132438133/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)))) (.f64 y z) x))
(if (<=.f64 y #s(literal -8510815580529969/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 7310526838468353/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) x (.f64 y z)))
(if (or (<=.f64 y #s(literal -8510815580529969/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (not (<=.f64 y #s(literal 7310526838468353/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)))) (*.f64 y z) x)
x

soundness810.0ms (15.8%)

Rules

1176×	`fma-neg`
597×	`distribute-lft-neg-in`
382×	`fma-neg`
368×	`associate-l`
366×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	15512
1	1453	14910
2	5999	14858
0	544	15183
1	1189	13693
2	3672	13461
0	36	377
1	78	321
2	237	317
3	836	317
4	1871	317
5	3198	317
6	3494	317
7	3526	317
8	3526	317
9	4161	317
10	4161	317

Stop Event

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

Compiler

Compiled 143 to 74 computations (48.3% saved)

preprocess42.0ms (0.8%)

Compiler: Compiled 194 to 102 computations (47.4% saved)

analyze0.0ms (0%)

sample599.0ms (11.7%)

preprocess195.0ms (3.8%)

explain99.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.8%)

localize510.0ms (10%)

series19.0ms (0.4%)

rewrite270.0ms (5.3%)

simplify186.0ms (3.6%)

eval48.0ms (0.9%)

prune198.0ms (3.9%)

simplify43.0ms (0.8%)

localize60.0ms (1.2%)

series24.0ms (0.5%)

rewrite176.0ms (3.4%)

simplify203.0ms (4%)

eval59.0ms (1.2%)

prune57.0ms (1.1%)

simplify105.0ms (2.1%)

localize54.0ms (1.1%)

series24.0ms (0.5%)

rewrite173.0ms (3.4%)

simplify453.0ms (8.9%)

eval71.0ms (1.4%)

prune143.0ms (2.8%)

simplify6.0ms (0.1%)

localize21.0ms (0.4%)

series2.0ms (0%)

rewrite69.0ms (1.3%)

simplify88.0ms (1.7%)

eval6.0ms (0.1%)

prune61.0ms (1.2%)

regimes20.0ms (0.4%)

regimes19.0ms (0.4%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.5%)

bsearch21.0ms (0.4%)

bsearch40.0ms (0.8%)

bsearch29.0ms (0.6%)

simplify8.0ms (0.1%)

soundness810.0ms (15.8%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling