2sqrt (example 3.1)

Time bar (total: 6.2s)

analyze2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (27.4%)

Memory
76.3MiB live, 2 634.2MiB allocated
Samples
751.0ms4 768×1valid
548.0ms3 308×2valid
12.0ms180×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sqrt: 413.0ms (40.1% of total)
adjust: 138.0ms (13.4% of total)
ival-sub: 132.0ms (12.8% of total)
...in/eval/compile.rkt:105:19: 131.0ms (12.7% of total)
ival-add: 115.0ms (11.2% of total)
ival->: 47.0ms (4.6% of total)
ival-<: 21.0ms (2% of total)
ival-and: 19.0ms (1.8% of total)
...in/eval/compile.rkt:104:19: 8.0ms (0.8% of total)
ival-assert: 6.0ms (0.6% of total)
Bogosity

preprocess59.0ms (1%)

Memory
33.4MiB live, 76.0MiB allocated
Algorithm
egg-herbie
Rules
84×fma-define
66×fmm-def
32×sub-neg
21×associate--r+
20×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8454116
9489116
10515116
11517116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x))))
(-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

explain128.0ms (2.1%)

Memory
-22.8MiB live, 165.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-1(39.387214560493014)(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation2551
Confusion
Predicted +Predicted -
+2551
-00
Precision
1.0
Recall
0.99609375
Confusion?
Predicted +Predicted MaybePredicted -
+25510
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms214×2valid
36.0ms290×1valid
0.0ms0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sqrt: 23.0ms (53.1% of total)
adjust: 7.0ms (16.2% of total)
ival-add: 7.0ms (16.2% of total)
ival-sub: 6.0ms (13.9% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify15.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
10×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01164
11964
22364
33164
44064
55764
69464
713064
818064
921564
1024164
1124364
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)

localize43.0ms (0.7%)

Memory
19.5MiB live, 56.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Samples
18.0ms145×1valid
15.0ms107×2valid
0.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sqrt: 9.0ms (39.5% of total)
ival-add: 7.0ms (30.7% of total)
adjust: 3.0ms (13.2% of total)
ival-sub: 3.0ms (13.2% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-26.7MiB live, 10.4MiB allocated
Counts
4 → 40
Calls
Call 1
Inputs
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (sqrt.f64 x)>
Outputs
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(- (sqrt (+ x 1)) (sqrt x))
2.0ms
x
@-inf
(- (sqrt (+ x 1)) (sqrt x))
0.0ms
x
@-inf
(sqrt (+ x 1))
0.0ms
x
@0
(- (sqrt (+ x 1)) (sqrt x))
0.0ms
x
@-inf
(sqrt x)

rewrite235.0ms (3.8%)

Memory
11.3MiB live, 293.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
832×prod-diff
614×log1p-expm1-u
614×expm1-log1p-u
525×unpow-prod-down
411×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
113259
2175659
Stop Event
node limit
Counts
4 → 296
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) (cbrt.f64 (exp.f64 (sqrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))

simplify166.0ms (2.7%)

Memory
-9.6MiB live, 181.9MiB allocated
Algorithm
egg-herbie
Rules
692×fmm-def
441×times-frac
388×unswap-sqr
298×associate-*r*
297×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07394294978940
115584294978155
244444294977286
Stop Event
node limit
Counts
336 → 456
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) (cbrt.f64 (exp.f64 (sqrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 x)))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (sqrt.f64 x)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -5/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) (neg.f64 x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (neg.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 x)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) x)
x
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
x
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(+.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
(exp.f64 (log1p.f64 x))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) (cbrt.f64 (exp.f64 (sqrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x))) (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 x)
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(sqrt.f64 x)
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)

eval60.0ms (1%)

Memory
22.6MiB live, 97.9MiB allocated
Compiler

Compiled 7 823 to 1 442 computations (81.6% saved)

prune52.0ms (0.8%)

Memory
20.0MiB live, 95.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4524456
Fresh000
Picked011
Done000
Total4525457
Accuracy
100.0%
Counts
457 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
97.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify130.0ms (2.1%)

Memory
-18.0MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Rules
622×fma-define
562×fmm-def
136×times-frac
101×associate-*r*
100×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022326
137326
244326
350326
457326
567326
678326
799326
8126326
9137326
10156326
11193326
12230326
13287326
14358326
15394326
16458326
17645326
181070326
191544326
202187326
212958326
223205326
233226326
243230326
253230326
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x)
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)

localize59.0ms (1%)

Memory
-1.5MiB live, 74.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.5%
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Samples
32.0ms256×0valid
Compiler

Compiled 100 to 19 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 5.0ms (24.8% of total)
ival-mult: 5.0ms (24.8% of total)
ival-sqrt: 5.0ms (24.8% of total)
ival-add: 3.0ms (14.9% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
11 → 84
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
1.0ms
x
@-inf
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
1.0ms
x
@0
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
1.0ms
x
@-inf
(* 1/2 (sqrt (/ 1 x)))
1.0ms
x
@inf
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))

rewrite241.0ms (3.9%)

Memory
-19.7MiB live, 117.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 112×log1p-expm1-u
774×expm1-log1p-u
149×add-exp-log
148×add-log-exp
148×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022245
1347217
24870217
Stop Event
node limit
Counts
11 → 300
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
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(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
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(pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))

simplify201.0ms (3.3%)

Memory
-14.5MiB live, 175.9MiB allocated
Algorithm
egg-herbie
Rules
431×fmm-def
354×associate-*r*
304×associate-*l*
293×fma-define
278×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078514501
1177512395
2607012068
Stop Event
node limit
Counts
384 → 492
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(literal 1 binary64)
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(sqrt.f64 x)
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(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
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(sqrt.f64 x)
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(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))

eval89.0ms (1.4%)

Memory
20.3MiB live, 132.9MiB allocated
Compiler

Compiled 11 855 to 2 251 computations (81% saved)

prune90.0ms (1.5%)

Memory
2.0MiB live, 159.7MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New7338741
Fresh000
Picked314
Done011
Total73610746
Accuracy
100.0%
Counts
746 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
97.6%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
90.7%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
65.1%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
97.7%
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
1.6%
(neg.f64 (sqrt.f64 x))
Compiler

Compiled 142 to 109 computations (23.2% saved)

simplify18.0ms (0.3%)

Memory
-20.2MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(neg.f64 (sqrt.f64 x))
cost-diff0
(cbrt.f64 x)
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
cost-diff0
(+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Rules
fma-define
+-commutative
1-exp
*-commutative
associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027371
140363
245363
347363
451363
555363
663363
769363
875363
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(cbrt.f64 x)
x
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
#s(literal 1/2 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(cbrt.f64 x)
x
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
#s(literal 1/2 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize94.0ms (1.5%)

Memory
23.7MiB live, 102.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy99.6%
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy99.5%
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy100.0%
(pow.f64 x #s(literal 3/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
accuracy98.6%
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
accuracy68.9%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(neg.f64 (sqrt.f64 x))
accuracy100.0%
(+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
accuracy99.4%
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
accuracy99.1%
(cbrt.f64 x)
Samples
57.0ms256×0valid
Compiler

Compiled 111 to 24 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 12.0ms (27.4% of total)
ival-div: 10.0ms (22.8% of total)
ival-pow: 10.0ms (22.8% of total)
ival-mult: 3.0ms (6.8% of total)
ival-cbrt: 3.0ms (6.8% of total)
ival-sqrt: 3.0ms (6.8% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
0.2MiB live, 37.4MiB allocated
Counts
13 → 148
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 x)>
#<alt (neg.f64 (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))>
#<alt (pow.f64 x #s(literal 3/2 binary64))>
#<alt (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))>
#<alt (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))))))) x))>
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#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
x
@0
(cbrt x)
4.0ms
x
@-inf
(/ 1 (+ (pow (cbrt x) 3/2) (sqrt (+ 1 x))))
4.0ms
x
@-inf
(/ (+ (/ -1/8 (sqrt x)) (* 1/2 (sqrt x))) x)
2.0ms
x
@-inf
(pow (cbrt x) 3/2)
2.0ms
x
@-inf
(* 1/2 (cbrt (/ 1 (pow x 3/2))))

rewrite190.0ms (3.1%)

Memory
12.8MiB live, 87.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 025×log1p-expm1-u
189×expm1-log1p-u
184×add-cube-cbrt
181×add-exp-log
181×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027259
1438219
26392219
Stop Event
node limit
Counts
13 → 418
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(cbrt.f64 x)
(neg.f64 (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
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(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))

simplify475.0ms (7.7%)

Memory
-325.7MiB live, 219.1MiB allocated
Algorithm
egg-herbie
Rules
338×associate-*r*
333×cancel-sign-sub-inv
309×associate-*l*
273×distribute-lft-neg-in
272×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08654294984549
118114294983223
259874294983054
Stop Event
node limit
Counts
566 → 560
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))))))) x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))))))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (pow.f64 (exp.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/16 binary64)))) x)
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 x))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(log.f64 (/.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))))))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))))
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))

eval97.0ms (1.6%)

Memory
32.2MiB live, 143.6MiB allocated
Compiler

Compiled 13 388 to 2 485 computations (81.4% saved)

prune104.0ms (1.7%)

Memory
-23.2MiB live, 175.7MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New8125817
Fresh123
Picked325
Done022
Total81611827
Accuracy
100.0%
Counts
827 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
96.7%
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
97.6%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
90.7%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
66.9%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
97.7%
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
7.0%
#s(literal 1 binary64)
Compiler

Compiled 131 to 102 computations (22.1% saved)

simplify8.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1/4 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 x (sqrt.f64 x))
cost-diff0
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Rules
1-exp
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024244
133244
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)

localize64.0ms (1%)

Memory
0.9MiB live, 75.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal -3/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
accuracy68.9%
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
accuracy100.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1/4 binary64) x)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
accuracy99.2%
(/.f64 x (sqrt.f64 x))
Samples
42.0ms256×0valid
Compiler

Compiled 74 to 21 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 10.0ms (32.9% of total)
ival-sqrt: 7.0ms (23.1% of total)
ival-div: 5.0ms (16.5% of total)
ival-mult: 3.0ms (9.9% of total)
ival-add: 2.0ms (6.6% of total)
ival-cbrt: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
10 → 108
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 x (sqrt.f64 x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))>
#<alt (/.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))>
#<alt (pow.f64 x #s(literal -3/2 binary64))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))))))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))))))))) x))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ 1 (+ (/ x (sqrt x)) (sqrt (+ 1 x))))
2.0ms
x
@-inf
(* 1/2 (cbrt (pow x -3/2)))
1.0ms
x
@-inf
(sqrt (/ 1/4 x))
1.0ms
x
@-inf
(+ (/ x (sqrt x)) (sqrt (+ 1 x)))
0.0ms
x
@0
(/ 1 (+ (/ x (sqrt x)) (sqrt (+ 1 x))))

rewrite159.0ms (2.6%)

Memory
-10.3MiB live, 67.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 185×log1p-expm1-u
1 185×expm1-log1p-u
131×pow1
130×add-cube-cbrt
128×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024177
1340150
24492150
Stop Event
node limit
Counts
10 → 338
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
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(*.f64 (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)))
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(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 4 binary64))))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))

simplify186.0ms (3%)

Memory
-10.5MiB live, 180.0MiB allocated
Algorithm
egg-herbie
Rules
352×cancel-sign-sub-inv
337×fmm-def
272×associate-*r*
256×associate-*l*
251×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065812532
1145911342
2530211292
Stop Event
node limit
Counts
446 → 369
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/4 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/4 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(pow.f64 x #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(pow.f64 x #s(literal -3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))

eval52.0ms (0.8%)

Memory
42.6MiB live, 79.5MiB allocated
Compiler

Compiled 7 356 to 1 543 computations (79% saved)

prune56.0ms (0.9%)

Memory
-10.4MiB live, 106.3MiB allocated
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4272429
Fresh112
Picked055
Done044
Total42812440
Accuracy
100.0%
Counts
440 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
96.7%
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
97.6%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
66.9%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
97.7%
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
90.6%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
7.0%
#s(literal 1 binary64)
Compiler

Compiled 233 to 135 computations (42.1% saved)

regimes24.0ms (0.4%)

Memory
-4.9MiB live, 38.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

17.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
Outputs
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Accuracy

Total -3.5b remaining (-5.8%)

Threshold costs -3.5b (-5.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 x))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
7.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964
12764
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
#s(literal 1 binary64)

soundness1.2s (20.3%)

Memory
-9.3MiB live, 824.4MiB allocated
Rules
1 112×log1p-expm1-u
1 025×log1p-expm1-u
832×prod-diff
774×expm1-log1p-u
692×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078514501
1177512395
2607012068
08654294984549
118114294983223
259874294983054
027259
1438219
26392219
022245
1347217
24870217
07394294978940
115584294978155
244444294977286
01159
113259
2175659
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 739 to 244 computations (67% saved)

preprocess46.0ms (0.7%)

Memory
15.7MiB live, 92.6MiB allocated
Compiler

Compiled 88 to 64 computations (27.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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