Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.1s (27.5%)

Results

790.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-div: 155.0ms (48.1% of total)

ival-mult: 109.0ms (33.8% of total)

ival-sub: 41.0ms (12.7% of total)

ival-true: 7.0ms (2.2% of total)

...in/eval/compile.rkt:70:19: 6.0ms (1.9% of total)

ival-assert: 5.0ms (1.6% of total)

Bogosity

preprocess109.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fmm-def`
82×	`distribute-lft-neg-in`
79×	`unsub-neg`
78×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1446	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 z (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/8 binary64)))

Symmetry

(sort x y)

explain453.0ms (10.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

399.0ms

512×

valid

Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions

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

ival-div: 7.0ms (41.5% of total)

ival-sub: 5.0ms (29.6% of total)

ival-mult: 4.0ms (23.7% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify150.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	cost-diff	-6272	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Rules

212×	`fma-define`
147×	`fmm-def`
44×	`distribute-lft-neg-in`
31×	`cancel-sign-sub-inv`
28×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
z
#s(literal -8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -8 binary64)

localize49.0ms (1.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal -8 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

34.0ms

256×

valid

Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions

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

ival-sub: 6.0ms (34.4% of total)

ival-div: 6.0ms (34.4% of total)

ival-fma: 3.0ms (17.2% of total)

ival-mult: 2.0ms (11.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series37.0ms (0.9%)

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal -8 binary64))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>

Calls

39 calls:

Time	Variable		Point	Expression
25.0ms	z	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	z	@	-inf	(/ z 8)
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)
1.0ms	x	@	inf	(/ (* x y) 2)

rewrite300.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
1078×	`expm1-log1p-u`
244×	`fma-define`
176×	`log1p-undefine`
144×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	255	122
2	3671	122

Stop Event

1×	node limit

Counts

7 → 340

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 z #s(literal -8 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 y (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 y (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
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(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))

simplify187.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
469×	`cancel-sign-sub-inv`
387×	`associate-*r/`
327×	`distribute-lft-neg-in`
319×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	12856
1	1067	12267
2	3265	12087

Stop Event

1×	node limit

Counts

472 → 324

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
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(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
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(fma.f64 #s(literal 1/8 binary64) z (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x y) (.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/8 binary64) z (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(/.f64 z #s(literal 8 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(/.f64 z #s(literal -8 binary64))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(/.f64 z #s(literal 8 binary64))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(/.f64 z #s(literal -8 binary64))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/8 binary64))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(fabs.f64 (*.f64 #s(literal 1/8 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/8 binary64) z)
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/8 binary64))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) z)

eval39.0ms (0.9%)

Compiler: Compiled 4675 to 795 computations (83% saved)

prune46.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	322	4	326

Accuracy

100.0%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	93.3%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶	56.8%	(*.f64 z #s(literal -1/8 binary64))

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify208.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
✓	cost-diff	0	(*.f64 z #s(literal -1/8 binary64))

Rules

1060×	`associate-/r/`
980×	`*-commutative`
701×	`cube-prod`
499×	`associate-/r*`
392×	`swap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	31	161
2	49	161
3	94	161
4	208	152
5	324	152
6	512	152
7	1033	152
8	2063	152
9	3051	152
10	3118	152
11	3178	152
12	3255	152
13	3352	152
14	3465	152
15	5329	152
16	6393	152
17	7479	152
18	7897	152

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
z
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal 1/8 binary64)

Outputs
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 z #s(literal -1/8 binary64)))
z
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) z)
(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
x
y
#s(literal 1/8 binary64)

localize39.0ms (0.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
✓	accuracy	93.8%	(/.f64 (*.f64 x y) z)
✓	accuracy	93.2%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/8 binary64))

Results

25.0ms

256×

valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-mult: 7.0ms (62.6% of total)

ival-div: 2.0ms (17.9% of total)

ival-sub: 1.0ms (8.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Counts

4 → 45

Calls

Call 1

Inputs
#<alt (*.f64 z #s(literal -1/8 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 1/2 (/ (* x y) z))
1.0ms	z	@	0	(* 1/2 (/ (* x y) z))
1.0ms	z	@	inf	(* 1/2 (/ (* x y) z))
1.0ms	x	@	0	(* 1/2 (/ (* x y) z))
1.0ms	x	@	inf	(* 1/2 (/ (* x y) z))

rewrite120.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u`
679×	`expm1-log1p-u`
619×	`log-prod`
186×	`expm1-undefine`
186×	`pow-to-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	215	99
2	2862	99

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(/.f64 (*.f64 x y) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 z #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (neg.f64 x))) (neg.f64 z))
(/.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 y (/.f64 x z))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 y z)) (log.f64 (exp.f64 #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 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 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))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 2 binary64)))
(fma.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z (*.f64 z #s(literal -1/8 binary64)))

simplify138.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

775×	`exp-prod`
336×	`associate-/r*`
287×	`distribute-lft-in`
262×	`distribute-rgt-in`
215×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	5430
1	789	5326
2	2383	5210
3	6767	5210

Stop Event

1×	node limit

Counts

179 → 173

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 z #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (neg.f64 x))) (neg.f64 z))
(/.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 y z)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 y (/.f64 x z))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 y z)) (log.f64 (exp.f64 #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 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 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))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 2 binary64)))
(fma.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z (*.f64 z #s(literal -1/8 binary64)))

Outputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
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(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1/3 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 2 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(fma.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) (*.f64 z #s(literal -1/8 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z (*.f64 z #s(literal -1/8 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))

eval28.0ms (0.7%)

Compiler: Compiled 2793 to 786 computations (71.9% saved)

prune26.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	189	5	194

Accuracy

100.0%

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	93.3%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	56.8%	(*.f64 z #s(literal -1/8 binary64))
▶	44.4%	(.f64 x (.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify152.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/2 binary64) y))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	21	38
3	23	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
x
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
x
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

localize30.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)

Results

13.0ms

256×

valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-mult: 4.0ms (101% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* 1/2 y)
0.0ms	y	@	inf	(* 1/2 y)
0.0ms	y	@	-inf	(* 1/2 y)
0.0ms	x	@	0	(* x (* 1/2 y))
0.0ms	y	@	inf	(* x (* 1/2 y))

rewrite68.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

410×	`unpow-prod-down`
362×	`log1p-expm1-u`
362×	`expm1-log1p-u`
348×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1007	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

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

simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fmm-def`
519×	`prod-exp`
390×	`distribute-lft-out`
356×	`associate-r`
340×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1338
1	217	1338
2	413	1338
3	956	1338
4	2393	1338
5	4112	1338
6	7658	1338

Stop Event

1×	node limit

Counts

66 → 50

Calls

Call 1

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

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

eval15.0ms (0.4%)

Compiler: Compiled 475 to 150 computations (68.4% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	50	5	55

Accuracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	93.3%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	56.8%	(*.f64 z #s(literal -1/8 binary64))
✓	44.4%	(.f64 x (.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 90 to 61 computations (32.2% saved)

regimes48.0ms (1.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

33.0ms	y
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes16.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

3.0ms	y
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	x
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 z #s(literal -1/8 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

2.0ms	x
2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
75.5%	3	`x`
75.0%	3	`y`
75.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))

Outputs
(*.f64 z #s(literal -1/8 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
56.8%	1	`y`
56.8%	1	`z`
56.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.900722649707021e-102	2.593093026687695e-86
14.0ms	-7.65090189244709e+61	-2.4082389043648836e+45

Results

18.0ms

320×

valid

Compiler

Compiled 335 to 275 computations (17.9% saved)

Precisions

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

ival-div: 4.0ms (45.3% of total)

ival-mult: 3.0ms (34% of total)

ival-sub: 2.0ms (22.6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	134
1	46	134
2	55	134
3	61	134
4	66	134
5	68	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -32000000000000001403066977442438315348289524858880 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7139186365691751/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 z #s(literal -1/8 binary64))

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -32000000000000001403066977442438315348289524858880 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7139186365691751/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -32000000000000001403066977442438315348289524858880 binary64)) (not (<=.f64 x #s(literal 7139186365691751/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))

soundness534.0ms (12.8%)

Rules

775×	`exp-prod`
661×	`fma-define`
484×	`fmm-def`
469×	`cancel-sign-sub-inv`
387×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	5430
1	789	5326
2	2383	5210
3	6767	5210
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1446	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330
0	487	12856
1	1067	12267
2	3265	12087

Stop Event

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

Compiler

Compiled 128 to 66 computations (48.4% saved)

preprocess34.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 170 to 116 computations (31.8% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

sample1.1s (27.5%)

preprocess109.0ms (2.6%)

explain453.0ms (10.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify150.0ms (3.6%)

localize49.0ms (1.2%)

series37.0ms (0.9%)

rewrite300.0ms (7.2%)

simplify187.0ms (4.5%)

eval39.0ms (0.9%)

prune46.0ms (1.1%)

simplify208.0ms (5%)

localize39.0ms (0.9%)

series12.0ms (0.3%)

rewrite120.0ms (2.9%)

simplify138.0ms (3.3%)

eval28.0ms (0.7%)

prune26.0ms (0.6%)

simplify152.0ms (3.6%)

localize30.0ms (0.7%)

series2.0ms (0%)

rewrite68.0ms (1.6%)

simplify116.0ms (2.8%)

eval15.0ms (0.4%)

prune10.0ms (0.2%)

regimes48.0ms (1.2%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch34.0ms (0.8%)

simplify5.0ms (0.1%)

soundness534.0ms (12.8%)

preprocess34.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150