Metrics for Falkner and Boettcher, Appendix B, 2

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (36.4% of total)

ival-sqrt: 1.0ms (36.4% of total)

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

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

const: 0.0ms (0% of total)

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

sample1.6s (21.4%)

Results

1.2s	8256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-mult: 364.0ms (50.3% of total)

ival-sqrt: 145.0ms (20% of total)

ival-sub: 103.0ms (14.2% of total)

ival-div: 83.0ms (11.5% of total)

const: 27.0ms (3.7% of total)

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

Bogosity

preprocess213.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1731×	`fma-define`
509×	`distribute-lft-in`
502×	`fma-neg`
465×	`distribute-rgt-in`
435×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	81	276
2	199	260
3	637	256
4	1910	244
5	4131	244
6	5472	244
7	5803	244
8	5857	244
9	5917	244
10	6013	244
11	7603	244

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v))))
(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 v v) #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 v v) #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 v v) #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (neg.f64 v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 (.f64 v v) #s(literal -1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1/4 binary64))))

Symmetry

(abs v)

explain287.0ms (3.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`#s(literal 2 binary64)`
-	-	`v`
-	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
-	-	`#s(literal 4 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
-	-	`(sqrt.f64 #s(literal 2 binary64))`
-	-	`(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 v v)`
-	-	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))`
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))`

Results

151.0ms

512×

valid

Compiler

Compiled 166 to 113 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sqrt: 40.0ms (35.2% of total)

ival-mult: 37.0ms (32.5% of total)

ival-sub: 19.0ms (16.7% of total)

ival-div: 12.0ms (10.6% of total)

const: 5.0ms (4.4% of total)

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

eval2.0ms (0%)

Compiler: Compiled 109 to 79 computations (27.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Compiler

Compiled 20 to 15 computations (25% saved)

localize342.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 v v))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 v v))

Rules

758×	`fma-define`
513×	`fma-neg`
451×	`distribute-lft-in`
412×	`sub-neg`
369×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	243
1	44	243
2	96	227
3	245	227
4	727	227
5	1680	223
6	2629	223
7	4580	223
8	6157	223
9	7679	223

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -3 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Results

202.0ms

256×

valid

Compiler

Compiled 73 to 49 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-div: 138.0ms (75.3% of total)

ival-mult: 17.0ms (9.3% of total)

ival-sqrt: 15.0ms (8.2% of total)

ival-sub: 10.0ms (5.5% of total)

const: 3.0ms (1.6% of total)

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

series15.0ms (0.2%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (.f64 v v))>
#<alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))>
#<alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 v v)>

Outputs
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))))>
#<alt (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 4 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/8 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 9/8 binary64))) #s(literal 3/2 binary64))))>
#<alt (*.f64 v (sqrt.f64 #s(literal -3 binary64)))>
#<alt (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))>
#<alt (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))))))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms	v	@	inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
1.0ms	v	@	0	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
1.0ms	v	@	0	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms	v	@	-inf	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

rewrite255.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log1p-expm1-u`
719×	`expm1-log1p-u`
689×	`prod-diff`
288×	`fma-define`
200×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	173
1	255	147
2	3322	135

Stop Event

1×	node limit

Counts

7 → 192

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 v v)

Outputs
(-.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal 3 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
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(fma.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 27 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 v (sqrt.f64 #s(literal 3 binary64))))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) v) (hypot.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-lft-in`
699×	`distribute-rgt-in`
469×	`times-frac`
460×	`associate-r`
394×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	10507
1	1267	10305
2	4596	10293

Stop Event

1×	node limit

Counts

252 → 360

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
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(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 27 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 (.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 v (sqrt.f64 #s(literal 3 binary64))))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) v) (hypot.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))

Outputs
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -9/32 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/32 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -9/32 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/32 binary64)))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -27/64 binary64)) #s(literal -9/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -27/64 binary64)) #s(literal -9/32 binary64))) (pow.f64 v #s(literal 4 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/4 binary64) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))
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(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 v #s(literal 2 binary64))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 v #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 v #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) v) (hypot.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))
(pow.f64 v #s(literal 2 binary64))

eval303.0ms (4%)

Compiler: Compiled 9781 to 8165 computations (16.5% saved)

prune118.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	372	5	377
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	373	5	378

Accuracy

100.0%

Counts

378 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	98.4%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	100.0%	(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.6%	(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))

Compiler

Compiled 152 to 124 computations (18.4% saved)

localize447.0ms (5.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
✓	cost-diff	128	(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))))
✓	cost-diff	6272	(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
✓	cost-diff	6528	(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	99.8%	(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 v v))
✓	accuracy	99.7%	(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))

Rules

549×	`distribute-lft-in`
482×	`associate-r`
467×	`distribute-rgt-in`
420×	`associate-l`
398×	`distribute-lft-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	752
1	94	712
2	251	706
3	734	684
4	2694	684
5	5243	683

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal -3/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))
#s(literal 1/4 binary64)
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
(*.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
v
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal -3/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
#s(literal 1/4 binary64)
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(pow.f64 v #s(literal 2 binary64))
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64))))
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))

Results

257.0ms

256×

valid

Compiler

Compiled 247 to 178 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 57.0ms (29.1% of total)

ival-sqrt: 48.0ms (24.5% of total)

ival-pow: 38.0ms (19.4% of total)

ival-sub: 21.0ms (10.7% of total)

ival-fma: 13.0ms (6.6% of total)

const: 10.0ms (5.1% of total)

ival-add: 8.0ms (4.1% of total)

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

series16.0ms (0.2%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))>
#<alt (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))>
#<alt (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))))>
#<alt (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))>

Outputs
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 #s(literal -9/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/16 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))))))))>
#<alt (.f64 v (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (.f64 v (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(sqrt (* (+ (* (pow v 2) -3) 1) 1/8))
1.0ms	v	@	0	(* (pow v 2) (* (sqrt 2) -5/2))
1.0ms	v	@	inf	(sqrt (* (+ (* (pow v 2) -3) 1) 1/8))
1.0ms	v	@	inf	(* (pow v 2) (* (sqrt 2) -5/2))
0.0ms	v	@	0	(* (* 1/4 (sqrt 2)) (- 1 (* v v)))

rewrite157.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`log1p-expm1-u`
917×	`prod-diff`
275×	`expm1-log1p-u`
163×	`associate-r`
145×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	198
1	347	166
2	4474	166

Stop Event

1×	node limit

Counts

7 → 160

Calls

Call 1

Inputs
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))))
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 25/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -3/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9/64 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))))
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(/.f64 (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 25/2 binary64)) (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

simplify185.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg`
390×	`distribute-lft-in`
385×	`distribute-rgt-in`
255×	`exp-prod`
222×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	8318
1	938	7988
2	2841	7888
3	7255	7888

Stop Event

1×	node limit

Counts

244 → 287

Calls

Call 1

Inputs
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))) (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))) (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 25/2 binary64)) #s(literal 25/2 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 25/2 binary64)) (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -5/2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))
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(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 25/2 binary64)) (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/2 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 0 binary64))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))

eval114.0ms (1.5%)

Compiler: Compiled 5781 to 4884 computations (15.5% saved)

prune45.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	303	6	309

Accuracy

100.0%

Counts

309 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	100.0%	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
▶	98.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
▶	98.4%	(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.6%	(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))

Compiler

Compiled 74 to 62 computations (16.2% saved)

localize432.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/8 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
✓	accuracy	99.8%	(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	99.8%	(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))

Rules

774×	`unsub-neg`
499×	`fma-neg`
392×	`distribute-neg-in`
389×	`sub-neg`
357×	`distribute-lft-out--`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	352
1	54	344
2	106	338
3	220	326
4	444	326
5	556	326
6	822	326
7	1677	326
8	2330	326
9	3704	326
10	4372	326
11	5284	326
12	6063	326
13	6936	326
14	7815	326

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal -5/8 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)

Outputs
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal -5/8 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64))))
(sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64)))
(.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64) #s(literal 1/8 binary64))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))

Results

200.0ms

256×

valid

Compiler

Compiled 125 to 95 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-pow: 88.0ms (57.6% of total)

ival-mult: 28.0ms (18.3% of total)

ival-sqrt: 14.0ms (9.2% of total)

ival-sub: 8.0ms (5.2% of total)

ival-add: 8.0ms (5.2% of total)

const: 6.0ms (3.9% of total)

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

series7.0ms (0.1%)

Counts

6 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))>
#<alt (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))>

Outputs
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(* (sqrt 2) (+ 1/4 (* (pow v 2) -5/8)))
0.0ms	v	@	inf	(* (sqrt 1/8) (- 1 (* v v)))
0.0ms	v	@	0	(* (sqrt 2) (+ 1/4 (* (pow v 2) -5/8)))
0.0ms	v	@	0	(* (sqrt 1/8) (- 1 (* v v)))
0.0ms	v	@	inf	(* (pow v 2) -5/8)

rewrite177.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log1p-expm1-u`
709×	`expm1-log1p-u`
608×	`log-prod`
486×	`prod-diff`
305×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	281	96
2	3513	96

Stop Event

1×	node limit

Counts

6 → 195

Calls

Call 1

Inputs
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -5/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -5/8 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -5/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -3 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/8 binary64) (-.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64) #s(literal 1/64 binary64))) (fma.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/64 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
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(fma.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))

simplify159.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-neg`
561×	`times-frac`
468×	`distribute-lft-in`
430×	`distribute-rgt-in`
219×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	396	7336
1	764	6935
2	2261	6869
3	5715	6861

Stop Event

1×	node limit

Counts

243 → 244

Calls

Call 1

Inputs
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -5/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -5/8 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -125/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -5/8 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -5/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -3 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))))
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(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 #s(literal 1/8 binary64))
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(*.f64 (cbrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (cbrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 #s(literal 1/8 binary64))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/32 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(sqrt.f64 #s(literal 1/8 binary64))
(cbrt.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/32 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))

eval81.0ms (1.1%)

Compiler: Compiled 4087 to 3615 computations (11.5% saved)

prune43.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	0	0	0
Picked	1	3	4
Done	1	1	2
Total	286	6	292

Accuracy

100.0%

Counts

292 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
✓	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	100.0%	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
✓	98.4%	(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.4%	(sqrt.f64 #s(literal 1/8 binary64))

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize86.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 v #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
	cost-diff	0	(sqrt.f64 #s(literal 1/8 binary64))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(sqrt.f64 #s(literal 1/8 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))

Rules

14×	`associate-r`
13×	`*-commutative`
10×	`fma-define`
9×	`associate-l`
1×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	102
1	23	102
2	38	102
3	62	102
4	71	102
5	72	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/8 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

Outputs
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
v
#s(literal 2 binary64)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/8 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

Results

57.0ms

256×

valid

Compiler

Compiled 39 to 35 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sqrt: 19.0ms (45.7% of total)

ival-pow: 11.0ms (26.5% of total)

ival-mult: 9.0ms (21.7% of total)

const: 2.0ms (4.8% of total)

ival-add: 1.0ms (2.4% of total)

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

series4.0ms (0.1%)

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))>

Outputs
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(* (pow v 2) (* -5/8 (sqrt 2)))
0.0ms	v	@	inf	(+ (* (pow v 2) (* -5/8 (sqrt 2))) (sqrt 1/8))
0.0ms	v	@	inf	(* (pow v 2) (* -5/8 (sqrt 2)))
0.0ms	v	@	0	(+ (* (pow v 2) (* -5/8 (sqrt 2))) (sqrt 1/8))
0.0ms	v	@	-inf	(+ (* (pow v 2) (* -5/8 (sqrt 2))) (sqrt 1/8))

rewrite204.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`log1p-expm1-u`
721×	`expm1-log1p-u`
686×	`prod-diff`
378×	`log-prod`
272×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	166	61
2	2121	61

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(pow.f64 v #s(literal 2 binary64))
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))
(.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) (fma.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64))) (-.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) (neg.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal -1/8 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64))) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) (fma.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) (exp.f64 (sqrt.f64 #s(literal 1/8 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64))))))
(log.f64 (.f64 (exp.f64 (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) #s(literal 2 binary64)))
(fma.f64 v (*.f64 v (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 25/32 binary64)) (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 1/8 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(fma.f64 (cbrt.f64 #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (cbrt.f64 #s(literal 25/32 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (cbrt.f64 #s(literal 25/32 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) v) v (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)))
(.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (.f64 (cbrt.f64 v) v))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)))
(.f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) v))
(.f64 (.f64 v (sqrt.f64 v)) (sqrt.f64 v))
(.f64 (.f64 v (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 v))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 v #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 25/32 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 2 binary64)))

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-define`
460×	`fma-neg`
328×	`distribute-lft-neg-in`
278×	`distribute-rgt-neg-in`
272×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4820
1	605	4756
2	1559	4175
3	4854	4175

Stop Event

1×	node limit

Counts

154 → 156

Calls

Call 1

Inputs
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
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(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)))
(.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (.f64 (cbrt.f64 v) v))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)))
(.f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) v))
(.f64 (.f64 v (sqrt.f64 v)) (sqrt.f64 v))
(.f64 (.f64 v (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 v))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 v #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 25/32 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 25/32 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 25/32 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 25/32 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 25/32 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(pow.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)))
(pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64)))
(sqrt.f64 (*.f64 #s(literal 25/32 binary64) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/32 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 25/32 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25/32 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))))))
(/.f64 (fma.f64 #s(literal 25/32 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 25/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
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(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 #s(literal -5/8 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (.f64 #s(literal -5/8 binary64) (cbrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 v #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)))
(pow.f64 v #s(literal 2 binary64))
(.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (.f64 (cbrt.f64 v) v))
(pow.f64 v #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 v) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(.f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) v))
(pow.f64 v #s(literal 2 binary64))
(.f64 (.f64 v (sqrt.f64 v)) (sqrt.f64 v))
(pow.f64 v #s(literal 2 binary64))
(.f64 (.f64 v (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(pow.f64 v #s(literal 2 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 v #s(literal 2 binary64))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 v))) #s(literal 3 binary64)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 v #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 25/32 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(pow.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(sqrt.f64 #s(literal 25/32 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(sqrt.f64 #s(literal 25/32 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64)))))
(sqrt.f64 #s(literal 25/32 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 25/32 binary64)) #s(literal 25/32 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(sqrt.f64 #s(literal 25/32 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(sqrt.f64 #s(literal 25/32 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))))
(sqrt.f64 #s(literal 25/32 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 25/32 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 3 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 25/32 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 25/32 binary64))

eval72.0ms (1%)

Compiler: Compiled 3214 to 2929 computations (8.9% saved)

prune196.0ms (2.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	239	6	245

Accuracy

100.0%

Counts

245 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
✓	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	100.0%	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
✓	98.4%	(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	98.4%	(sqrt.f64 #s(literal 1/8 binary64))

Compiler

Compiled 223 to 175 computations (21.5% saved)

regimes14.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Calls

3 calls:

10.0ms

2.0ms

(*.f64 v v)

1.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Outputs
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes5.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))

Outputs
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))

Calls

2 calls:

3.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))

Outputs
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.4%	1	`v`
98.4%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

Outputs
(sqrt.f64 #s(literal 1/8 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	224
1	64	224
2	80	224
3	88	224
4	92	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 #s(literal 1/8 binary64))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -3 binary64))))))
(+.f64 (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(.f64 (sqrt.f64 #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 #s(literal 1/8 binary64))

soundness1.5s (20.1%)

Rules

938×	`log1p-expm1-u`
917×	`prod-diff`
721×	`log1p-expm1-u`
721×	`expm1-log1p-u`
719×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	10507
1	1267	10305
2	4596	10293
0	19	173
1	255	147
2	3322	135
0	23	100
1	281	96
2	3513	96
0	15	79
1	166	61
2	2121	61
0	433	8318
1	938	7988
2	2841	7888
3	7255	7888
0	28	198
1	347	166
2	4474	166

Stop Event

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

Compiler

Compiled 1201 to 975 computations (18.8% saved)

preprocess134.0ms (1.8%)

Remove: (abs v)
Compiler: Compiled 350 to 258 computations (26.3% saved)

analyze5.0ms (0.1%)

sample1.6s (21.4%)

preprocess213.0ms (2.8%)

explain287.0ms (3.8%)

eval2.0ms (0%)

prune1.0ms (0%)

localize342.0ms (4.5%)

series15.0ms (0.2%)

rewrite255.0ms (3.4%)

simplify152.0ms (2%)

eval303.0ms (4%)

prune118.0ms (1.6%)

localize447.0ms (5.9%)

series16.0ms (0.2%)

rewrite157.0ms (2.1%)

simplify185.0ms (2.4%)

eval114.0ms (1.5%)

prune45.0ms (0.6%)

localize432.0ms (5.7%)

series7.0ms (0.1%)

rewrite177.0ms (2.3%)

simplify159.0ms (2.1%)

eval81.0ms (1.1%)

prune43.0ms (0.6%)

localize86.0ms (1.1%)

series4.0ms (0.1%)

rewrite204.0ms (2.7%)

simplify133.0ms (1.8%)

eval72.0ms (1%)

prune196.0ms (2.6%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness1.5s (20.1%)

preprocess134.0ms (1.8%)

end0.0ms (0%)

Profiling