Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample762.0ms (27.2%)

Results

567.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 141.0ms (70.5% of total)

ival-sub: 47.0ms (23.5% of total)

const: 10.0ms (5% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess100.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-define`
206×	`fma-neg`
92×	`cancel-sign-sub-inv`
89×	`associate-r`
85×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 y (.f64 x (.f64 #s(literal 4 binary64) z)))
(+.f64 y (.f64 z (.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 z (.f64 x (.f64 y #s(literal 4 binary64))))
(+.f64 z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Symmetry

(sort y z)

explain67.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`x`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`y`

Results

35.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

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

ival-mult: 8.0ms (70.3% of total)

ival-sub: 3.0ms (26.3% of total)

const: 1.0ms (8.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
▶	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify69.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	6272	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	cost-diff	-6272	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 4 binary64) z))

Rules

264×	`fma-define`
110×	`fma-neg`
45×	`cancel-sign-sub-inv`
42×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	120	113
4	167	113
5	223	113
6	322	113
7	403	113
8	532	113
9	714	113
10	800	113
11	812	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
x
(.f64 y (.f64 #s(literal 4 binary64) z))
y
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x

Outputs
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
x
(.f64 y (.f64 #s(literal 4 binary64) z))
y
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x

localize39.0ms (1.4%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 4 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) z)
✓	accuracy	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Results

29.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-mult: 5.0ms (48.7% of total)

ival-fma: 3.0ms (29.2% of total)

ival-sub: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

series87.0ms (3.1%)

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (.f64 y (.f64 #s(literal 4 binary64) z))>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))>
#<alt (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)>
#<alt (*.f64 z #s(literal -4 binary64))>

Outputs
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>

Calls

30 calls:

Time	Variable		Point	Expression
75.0ms	y	@	-inf	(+ (* y (* z -4)) x)
1.0ms	x	@	0	(- x (* y (* 4 z)))
1.0ms	z	@	0	(* y (* 4 z))
1.0ms	y	@	0	(* y (* 4 z))
1.0ms	y	@	inf	(* y (* 4 z))

rewrite687.0ms (24.5%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log1p-expm1-u`
810×	`expm1-log1p-u`
455×	`log-prod`
287×	`fma-define`
164×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	186	91
2	2532	91

Stop Event

1×	node limit

Counts

5 → 210

Calls

Call 1

Inputs
(.f64 y (.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) z)
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(*.f64 z #s(literal -4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 z (.f64 y #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 z (.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (.f64 y #s(literal 4 binary64)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) (cbrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)))) (cbrt.f64 (.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) (sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (.f64 z (.f64 y #s(literal 4 binary64))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) z) x)
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) x)
(+.f64 (.f64 z (.f64 y #s(literal 4 binary64))) x)
(+.f64 x (.f64 z (.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x))
(.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 z (*.f64 y #s(literal 4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 z (*.f64 y #s(literal 4 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 z (.f64 y #s(literal 4 binary64))) x))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))

simplify162.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

467×	`distribute-lft-in`
403×	`distribute-rgt-in`
362×	`cancel-sign-sub-inv`
330×	`fma-neg`
318×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	9115
1	946	8909
2	2998	8895

Stop Event

1×	node limit

Counts

318 → 254

Calls

Call 1

Inputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) (cbrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)))) (cbrt.f64 (.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) (sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (.f64 z (.f64 y #s(literal 4 binary64))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y)) #s(literal 1 binary64) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal 4 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 z (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 z (.f64 y #s(literal 4 binary64)))) x)
(fma.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) z) x)
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) x)
(+.f64 (.f64 z (.f64 y #s(literal 4 binary64))) x)
(+.f64 x (.f64 z (.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x))
(.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 z (*.f64 y #s(literal 4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 z (*.f64 y #s(literal 4 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 z (.f64 y #s(literal 4 binary64))) x))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
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(/.f64 (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 z (.f64 y #s(literal 4 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) x))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (exp.f64 x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal 4 binary64)))))))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 1/3 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) z)
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal 4 binary64) z)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) z)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 4 binary64) z)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) z)

eval32.0ms (1.2%)

Compiler: Compiled 3995 to 633 computations (84.2% saved)

prune45.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	252	2	254
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	252	4	256

Accuracy

100.0%

Counts

256 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
▶	52.9%	(.f64 y (.f64 z #s(literal -4 binary64)))
▶	48.4%	x

Compiler

Compiled 31 to 22 computations (29% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -4 binary64)))

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	16	42
2	23	42
3	25	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

Outputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

localize24.0ms (0.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))

Results

15.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (82.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (.f64 y (.f64 z #s(literal -4 binary64)))>

Outputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y (* z -4))
0.0ms	z	@	0	(* y (* z -4))
0.0ms	y	@	-inf	(* y (* z -4))
0.0ms	y	@	inf	(* y (* z -4))
0.0ms	z	@	inf	(* y (* z -4))

rewrite68.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`unpow-prod-down`
364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
348×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1013	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 y (.f64 z #s(literal -4 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-define`
460×	`fma-neg`
395×	`associate-+r-`
393×	`*-commutative`
317×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1015
1	123	1015
2	326	1015
3	1802	1015
4	3982	1015
5	5590	1015

Stop Event

1×	node limit

Counts

45 → 34

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal -4 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))) #s(literal 2 binary64))
(.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z))))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y))))) (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 y (.f64 #s(literal -4 binary64) z))

eval4.0ms (0.2%)

Compiler: Compiled 385 to 104 computations (73% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	36	4	40

Accuracy

100.0%

Counts

40 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	52.9%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	48.4%	x

Compiler

Compiled 60 to 36 computations (40% saved)

regimes133.0ms (4.7%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Calls

6 calls:

121.0ms	z
3.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes14.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Calls

6 calls:

3.0ms	x
2.0ms	z
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))

Outputs
x
(.f64 y (.f64 z #s(literal -4 binary64)))
x

Calls

3 calls:

2.0ms	x
2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
76.8%	3	`x`
73.1%	3	`y`
69.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
48.4%	1	`z`
48.4%	1	`y`
48.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.7116329528644277e+50	3.8288274452000152e+53
8.0ms	-7.246090158338501e+134	-7.147014012154427e+133

Results

12.0ms

224×

valid

Compiler

Compiled 212 to 166 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (60.2% of total)

ival-sub: 1.0ms (20.1% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	107
1	42	107
2	54	107
3	66	107
4	74	107
5	79	107
6	81	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(if (<=.f64 x #s(literal -94999999999999999601632977581055024097576321950059432299445632764763929423611486290047739986687976522083409110322836048553534797381632 binary64)) x (if (<=.f64 x #s(literal 121999999999999999172955738272118613128328429917175808 binary64)) (.f64 y (.f64 z #s(literal -4 binary64))) x))
x

Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 x (.f64 y (.f64 z #s(literal 4 binary64))))
(if (<=.f64 x #s(literal -94999999999999999601632977581055024097576321950059432299445632764763929423611486290047739986687976522083409110322836048553534797381632 binary64)) x (if (<=.f64 x #s(literal 121999999999999999172955738272118613128328429917175808 binary64)) (.f64 y (.f64 z #s(literal -4 binary64))) x))
x

soundness330.0ms (11.8%)

Rules

467×	`distribute-lft-in`
403×	`distribute-rgt-in`
362×	`cancel-sign-sub-inv`
360×	`fma-define`
330×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	9115
1	946	8909
2	2998	8895
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 145 to 67 computations (53.8% saved)

preprocess44.0ms (1.6%)

Compiler: Compiled 156 to 96 computations (38.5% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample762.0ms (27.2%)

preprocess100.0ms (3.6%)

explain67.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (2.5%)

localize39.0ms (1.4%)

series87.0ms (3.1%)

rewrite687.0ms (24.5%)

simplify162.0ms (5.8%)

eval32.0ms (1.2%)

prune45.0ms (1.6%)

simplify7.0ms (0.3%)

localize24.0ms (0.8%)

series1.0ms (0.1%)

rewrite68.0ms (2.4%)

simplify81.0ms (2.9%)

eval4.0ms (0.2%)

prune7.0ms (0.2%)

regimes133.0ms (4.7%)

regimes14.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch21.0ms (0.8%)

simplify6.0ms (0.2%)

soundness330.0ms (11.8%)

preprocess44.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	120	113
4	167	113
5	223	113
6	322	113
7	403	113
8	532	113
9	714	113
10	800	113
11	812	113

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	120	113
4	167	113
5	223	113
6	322	113
7	403	113
8	532	113
9	714	113
10	800	113
11	812	113

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	120	113
4	167	113
5	223	113
6	322	113
7	403	113
8	532	113
9	714	113
10	800	113
11	812	113