Metrics for Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

analyze85.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 54.0ms (87.1% of total)

ival-mult: 4.0ms (6.5% of total)

ival-sub: 3.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

sample1.7s (20.7%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-sub: 202.0ms (47% of total)

ival-div: 149.0ms (34.6% of total)

ival-mult: 68.0ms (15.8% of total)

const: 8.0ms (1.9% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess201.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-neg`
816×	`fma-define`
638×	`times-frac`
596×	`div-sub`
430×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	36	385
1	90	369
2	286	319
3	1228	308
4	3445	308
5	5188	308
6	6721	308
7	7150	308
8	7333	308
9	7341	306

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(negabs x)

explain61.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
36	-	2	(1.4162471033355142e-288 5.4341672604352536e-254 -4.655879980475775e-30)	`(/.f64 (*.f64 x (-.f64 y z)) y)`
0	-	0	-	`(*.f64 x (-.f64 y z))`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`(-.f64 y z)`
0	-	0	-	`y`

Results

41.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-sub: 4.0ms (31.6% of total)

ival-div: 4.0ms (31.6% of total)

ival-mult: 4.0ms (31.6% of total)

const: 1.0ms (7.9% of total)

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

eval2.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize367.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	accuracy	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)

Rules

1299×	`fma-define`
719×	`fma-neg`
437×	`div-sub`
330×	`associate-*r/`
320×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	148
1	30	148
2	57	148
3	108	148
4	247	148
5	500	148
6	1147	148
7	2150	148
8	3831	148
9	5468	148
10	6159	148
11	6487	148
12	6541	148
13	7437	148
14	7805	148
15	7829	148
16	7853	148
17	7936	148
18	7984	148

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

35.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

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

ival-mult: 7.0ms (43.7% of total)

ival-sub: 4.0ms (25% of total)

ival-div: 4.0ms (25% of total)

const: 1.0ms (6.2% of total)

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

series21.0ms (0.2%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite689.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log1p-expm1-u`
810×	`expm1-log1p-u`
749×	`prod-diff`
294×	`fma-define`
130×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	113
1	225	113
2	3265	113

Stop Event

1×	node limit

Counts

5 → 179

Calls

Call 1

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

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

simplify239.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-define`
621×	`distribute-lft-in`
609×	`distribute-rgt-in`
291×	`cancel-sign-sub-inv`
255×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	8172
1	933	7501
2	2935	7309

Stop Event

1×	node limit

Counts

275 → 236

Calls

Call 1

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

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

eval38.0ms (0.5%)

Compiler: Compiled 2833 to 1236 computations (56.4% saved)

prune88.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	229	7	236
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	229	9	238

Accuracy

100.0%

Counts

238 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	40.5%	(/.f64 (*.f64 x y) y)
	47.4%	(*.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
▶	86.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
	85.1%	(*.f64 (-.f64 y z) (/.f64 x y))
▶	48.6%	(*.f64 (neg.f64 x) (/.f64 z y))
✓	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
▶	50.3%	x

Compiler

Compiled 152 to 97 computations (36.2% saved)

localize154.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	cost-diff	256	(/.f64 (*.f64 x y) y)
✓	accuracy	95.1%	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	accuracy	93.9%	(*.f64 (neg.f64 x) (/.f64 z y))
✓	accuracy	86.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	accuracy	77.2%	(/.f64 (*.f64 x y) y)

Rules

645×	`fma-neg`
609×	`div-sub`
352×	`neg-mul-1`
339×	`cancel-sign-sub-inv`
307×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	246
1	50	240
2	107	240
3	258	237
4	749	237
5	2710	237
6	4422	237
7	6740	237

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

54.0ms

256×

valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 12.0ms (48.9% of total)

ival-mult: 9.0ms (36.7% of total)

ival-sub: 2.0ms (8.2% of total)

const: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

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

series15.0ms (0.2%)

Counts

5 → 132

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite150.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`log1p-expm1-u`
485×	`expm1-log1p-u`
466×	`prod-diff`
164×	`associate-r`
138×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	334	89
2	4800	89

Stop Event

1×	node limit

Counts

5 → 201

Calls

Call 1

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

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

simplify236.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

463×	`cube-prod`
385×	`associate-l`
373×	`exp-prod`
341×	`distribute-lft-neg-in`
308×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	7531
1	871	6817
2	3820	6808

Stop Event

1×	node limit

Counts

333 → 218

Calls

Call 1

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

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

eval44.0ms (0.5%)

Compiler: Compiled 2709 to 1149 computations (57.6% saved)

prune207.0ms (2.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	256	5	261
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	258	12	270

Accuracy

100.0%

Counts

270 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f64 (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
✓	49.1%	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.5%	(/.f64 (*.f64 x y) y)
▶	49.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (neg.f64 x)))
▶	85.1%	(*.f64 (-.f64 y z) (/.f64 x y))
✓	48.6%	(*.f64 (neg.f64 x) (/.f64 z y))
▶	43.9%	(*.f64 y (/.f64 x y))
✓	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
▶	48.8%	(neg.f64 (/.f64 x (/.f64 y z)))
▶	2.9%	(neg.f64 x)
✓	50.3%	x

Compiler

Compiled 164 to 107 computations (34.8% saved)

localize273.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 (-.f64 y z) (/.f64 x y))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (neg.f64 x)))
✓	cost-diff	256	(*.f64 y (/.f64 x y))
✓	accuracy	95.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (neg.f64 x)))
✓	accuracy	94.1%	(/.f64 x (/.f64 y z))
✓	accuracy	85.1%	(*.f64 (-.f64 y z) (/.f64 x y))
✓	accuracy	76.4%	(*.f64 y (/.f64 x y))

Rules

1026×	`fma-neg`
443×	`fma-define`
436×	`div-sub`
361×	`associate-/l/`
285×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	253
1	52	253
2	118	253
3	286	250
4	572	250
5	1047	250
6	2733	250
7	5228	250
8	7941	250

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

112.0ms

256×

valid

Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.5% of total)

ival-mult: 7.0ms (31.9% of total)

ival-sub: 2.0ms (9.1% of total)

ival-neg: 2.0ms (9.1% of total)

const: 1.0ms (4.6% of total)

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

series8.0ms (0.1%)

Counts

5 → 153

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite160.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`log1p-expm1-u`
602×	`expm1-log1p-u`
448×	`prod-diff`
156×	`associate-r`
136×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	110
1	311	110
2	4699	110

Stop Event

1×	node limit

Counts

5 → 242

Calls

Call 1

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

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

simplify201.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

363×	`distribute-lft-neg-in`
332×	`cancel-sign-sub-inv`
321×	`distribute-rgt-neg-in`
249×	`div-sub`
246×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	10062
1	1221	9299
2	4043	9290

Stop Event

1×	node limit

Counts

395 → 276

Calls

Call 1

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

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

eval41.0ms (0.5%)

Compiler: Compiled 3337 to 1298 computations (61.1% saved)

prune143.0ms (1.7%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	1	0	1
Picked	1	4	5
Done	0	6	6
Total	276	12	288

Accuracy

100.0%

Counts

288 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.3%	(/.f64 (-.f64 y z) (/.f64 y x))
✓	49.1%	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.5%	(/.f64 (*.f64 x y) y)
▶	42.7%	(/.f64 y (/.f64 y x))
✓	85.1%	(*.f64 (-.f64 y z) (/.f64 x y))
✓	48.6%	(*.f64 (neg.f64 x) (/.f64 z y))
✓	43.9%	(*.f64 y (/.f64 x y))
✓	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	48.8%	(neg.f64 (/.f64 x (/.f64 y z)))
✓	2.9%	(neg.f64 x)
✓	50.3%	x

Compiler

Compiled 100 to 65 computations (35% saved)

localize114.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 (-.f64 y z) (/.f64 y x))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	256	(/.f64 y (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
	accuracy	100.0%	(-.f64 y z)
✓	accuracy	84.3%	(/.f64 (-.f64 y z) (/.f64 y x))
✓	accuracy	76.3%	(/.f64 y (/.f64 y x))

Rules

444×	`fma-neg`
386×	`fma-define`
377×	`associate-/r*`
308×	`*-commutative`
299×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	148
1	22	109
2	41	91
3	76	91
4	258	91
5	1157	91
6	4322	91

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

47.0ms

256×

valid

Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions

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

ival-div: 6.0ms (79.5% of total)

ival-sub: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite433.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1011×	`log1p-expm1-u`
945×	`prod-diff`
698×	`expm1-log1p-u`
89×	`times-frac`
82×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	178	45
2	2933	45

Stop Event

1×	node limit

Counts

3 → 602

Calls

Call 1

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

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

simplify415.0ms (5%)

Algorithm

1×	egg-herbie

Rules

513×	`+-commutative`
476×	`fma-undefine`
366×	`associate-+r+`
366×	`associate-+l+`
298×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1312	62004
1	3182	32805

Stop Event

1×	node limit

Counts

662 → 633

Calls

Call 1

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

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

eval269.0ms (3.3%)

Compiler: Compiled 25340 to 7592 computations (70% saved)

prune277.0ms (3.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	745	1	746
Fresh	0	0	0
Picked	1	1	2
Done	0	10	10
Total	746	12	758

Accuracy

100.0%

Counts

758 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	87.1%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	40.5%	(/.f64 (*.f64 x y) y)
	47.8%	(/.f64 (neg.f64 z) (/.f64 y x))
✓	42.7%	(/.f64 y (/.f64 y x))
✓	85.1%	(*.f64 (-.f64 y z) (/.f64 x y))
✓	48.6%	(*.f64 (neg.f64 x) (/.f64 z y))
✓	43.9%	(*.f64 y (/.f64 x y))
✓	97.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	48.8%	(neg.f64 (/.f64 x (/.f64 y z)))
✓	2.9%	(neg.f64 x)
✓	50.3%	x

Compiler

Compiled 211 to 104 computations (50.7% saved)

regimes98.0ms (1.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	z
8.0ms	x
5.0ms	y
4.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes89.0ms (1.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	y
23.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
65.7%	11	`x`
77.5%	3	`y`
79.1%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes62.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

61.0ms

Results

Accuracy	Segments	Branch
77.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -31.0b remaining (-97.6%)

Threshold costs -31b (-97.6%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

3.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
50.3%	1	`z`
53.3%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.005076073095942314	0.7084618017835513
13.0ms	-1.3262197488169209e-14	-4.493199833644791e-17

Results

16.0ms

240×

valid

Compiler

Compiled 241 to 176 computations (27% saved)

Precisions

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

ival-sub: 2.0ms (34.7% of total)

ival-div: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.005076073095942314	0.7084618017835513
11.0ms	-1.3262197488169209e-14	-4.493199833644791e-17

Results

35.0ms

240×

valid

Compiler

Compiled 241 to 176 computations (27% saved)

Precisions

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

ival-sub: 2.0ms (35.4% of total)

ival-div: 2.0ms (35.4% of total)

ival-mult: 2.0ms (35.4% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.005076073095942314	0.7084618017835513
11.0ms	-1.3262197488169209e-14	-4.493199833644791e-17

Results

21.0ms

240×

valid

Compiler

Compiled 241 to 176 computations (27% saved)

Precisions

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

ival-mult: 10.0ms (73% of total)

ival-sub: 2.0ms (14.6% of total)

ival-div: 2.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
11×	`sub-neg`
11×	`+-commutative`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	206
1	78	206
2	105	206
3	126	206
4	136	206
5	139	206

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 y #s(literal -215500602038799/1267650600228229401496703205376 binary64)) x (if (<=.f64 y #s(literal 3602879701896397/288230376151711744 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y) x))
(if (<=.f64 y #s(literal -6490371073168535/10141204801825835211973625643008 binary64)) x (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 (neg.f64 z) (/.f64 y x)) x))
(if (<=.f64 y #s(literal -2149935417987077/20282409603651670423947251286016 binary64)) x (if (<=.f64 y #s(literal 5188146770730811/288230376151711744 binary64)) (neg.f64 (/.f64 x (/.f64 y z))) x))
x

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 y #s(literal -215500602038799/1267650600228229401496703205376 binary64)) x (if (<=.f64 y #s(literal 3602879701896397/288230376151711744 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y) x))
(if (<=.f64 y #s(literal -6490371073168535/10141204801825835211973625643008 binary64)) x (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 (neg.f64 z) (/.f64 y x)) x))
(if (<=.f64 y #s(literal -6490371073168535/10141204801825835211973625643008 binary64)) x (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 z (neg.f64 (/.f64 y x))) x))
(if (<=.f64 y #s(literal -6490371073168535/10141204801825835211973625643008 binary64)) x (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 z (/.f64 (neg.f64 y) x)) x))
(if (<=.f64 y #s(literal -2149935417987077/20282409603651670423947251286016 binary64)) x (if (<=.f64 y #s(literal 5188146770730811/288230376151711744 binary64)) (neg.f64 (/.f64 x (/.f64 y z))) x))
(if (<=.f64 y #s(literal -2149935417987077/20282409603651670423947251286016 binary64)) x (if (<=.f64 y #s(literal 5188146770730811/288230376151711744 binary64)) (/.f64 (neg.f64 x) (/.f64 y z)) x))
x

soundness1.2s (14%)

Rules

923×	`log1p-expm1-u`
917×	`log1p-expm1-u`
880×	`fma-neg`
816×	`fma-define`
810×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	334	89
2	4800	89
0	507	10062
1	1221	9299
2	4043	9290
0	21	110
1	311	110
2	4699	110
0	16	113
1	225	113
2	3265	113
0	414	8172
1	933	7501
2	2935	7309
0	36	385
1	90	369
2	286	319
3	1228	308
4	3445	308
5	5188	308
6	6721	308
7	7150	308
8	7333	308
9	7341	306

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 308 to 142 computations (53.9% saved)

preprocess76.0ms (0.9%)

Remove: (negabs x)
Compiler: Compiled 262 to 154 computations (41.2% saved)

analyze85.0ms (1%)

sample1.7s (20.7%)

preprocess201.0ms (2.4%)

explain61.0ms (0.7%)

eval2.0ms (0%)

prune1.0ms (0%)

localize367.0ms (4.4%)

series21.0ms (0.2%)

rewrite689.0ms (8.3%)

simplify239.0ms (2.9%)

eval38.0ms (0.5%)

prune88.0ms (1.1%)

localize154.0ms (1.9%)

series15.0ms (0.2%)

rewrite150.0ms (1.8%)

simplify236.0ms (2.9%)

eval44.0ms (0.5%)

prune207.0ms (2.5%)

localize273.0ms (3.3%)

series8.0ms (0.1%)

rewrite160.0ms (1.9%)

simplify201.0ms (2.4%)

eval41.0ms (0.5%)

prune143.0ms (1.7%)

localize114.0ms (1.4%)

series9.0ms (0.1%)

rewrite433.0ms (5.2%)

simplify415.0ms (5%)

eval269.0ms (3.3%)

prune277.0ms (3.4%)

regimes98.0ms (1.2%)

regimes89.0ms (1.1%)

regimes62.0ms (0.8%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch25.0ms (0.3%)

bsearch44.0ms (0.5%)

bsearch30.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.2s (14%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling