2isqrt (example 3.6)

Time bar (total: 10.5s)

analyze2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×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 19 to 13 computations (31.6% saved)

sample2.1s (19.8%)

Memory
45.9MiB live, 2 691.3MiB allocated
Samples
1.3s6 873×1valid
359.0ms1 124×2valid
20.0ms259×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sqrt: 375.0ms (27% of total)
ival-div: 355.0ms (25.6% of total)
adjust: 185.0ms (13.3% of total)
ival-add: 154.0ms (11.1% of total)
const: 137.0ms (9.9% of total)
ival-sub: 113.0ms (8.1% of total)
ival->: 26.0ms (1.9% of total)
ival-<: 20.0ms (1.4% of total)
ival-and: 12.0ms (0.9% of total)
exact: 8.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess57.0ms (0.5%)

Memory
-12.8MiB live, 25.1MiB allocated
Algorithm
1×egg-herbie
Rules
112×lower-fma.f64
112×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
52×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
12025
24724
38924
414424
520924
624524
727224
828124
0811
01411
11911
22711
33611
44811
56811
610711
713911
819511
922411
1024511
1124711
024711
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))

explain167.0ms (1.6%)

Memory
9.0MiB live, 280.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(4.8251681414278385e+33)(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
2560-77(2.2361091080985464e+278)(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2560-256(4.8251681414278385e+33)(sqrt.f64 x)
2560-256(4.8251681414278385e+33)(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
2560-256(4.8251681414278385e+33)(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
70-7(260084138.5914097)(+.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))cancellation1790
Confusion
Predicted +Predicted -
+1790
-077
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17900
-0077
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
077
1179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms430×1valid
18.0ms74×2valid
1.0ms8×0valid
Compiler

Compiled 125 to 44 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 19.0ms (34% of total)
ival-sqrt: 16.0ms (28.6% of total)
adjust: 9.0ms (16.1% of total)
ival-add: 6.0ms (10.7% of total)
ival-sub: 5.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.3%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify16.0ms (0.2%)

Memory
-12.3MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
112×lower-fma.f64
112×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
52×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01432
11932
22732
33632
44832
56832
610732
713932
819532
922432
1024532
1124732
024732
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #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) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize61.0ms (0.6%)

Memory
-37.3MiB live, 122.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy5.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy5.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓accuracy5.5%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy2.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Samples
28.0ms215×1valid
8.0ms37×2valid
1.0ms4×0valid
Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 8.0ms (30.8% of total)
ival-sqrt: 8.0ms (30.8% of total)
adjust: 5.0ms (19.3% of total)
ival-add: 2.0ms (7.7% of total)
ival-sub: 2.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
Outputs
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@-inf
(/ 1 (sqrt x))
1.0ms
x
@inf
(/ 1 (sqrt (+ x 1)))
1.0ms
x
@-inf
(sqrt (+ x 1))
Compiler

Compiled 117 to 85 computations (27.4% saved)

rewrite303.0ms (2.9%)

Memory
0.0MiB live, 464.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 400×lower-fma.f64
4 400×lower-fma.f32
3 040×lower-*.f64
3 040×lower-*.f32
2 738×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
01427
16623
256523
3671923
0811323
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 285
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
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(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #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 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (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)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (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)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.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)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (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)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (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)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.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)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (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)))

simplify388.0ms (3.7%)

Memory
1.9MiB live, 672.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 898×lower-fma.f64
16 898×lower-fma.f32
5 002×lower-*.f64
5 002×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155744
1437667
21368639
34610634
08306583
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(+.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (*.f64 x x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(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 x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

eval38.0ms (0.4%)

Memory
36.3MiB live, 73.5MiB allocated
Compiler

Compiled 8 464 to 922 computations (89.1% saved)

prune53.0ms (0.5%)

Memory
-41.0MiB live, 92.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New33312345
Fresh000
Picked101
Done000
Total33412346
Accuracy
85.1%
Counts
346 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.4%
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
38.1%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
38.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
36.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
▶5.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
26.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶28.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶83.9%
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
68.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
▶5.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 382 to 230 computations (39.8% saved)

simplify345.0ms (3.3%)

Memory
35.6MiB live, 463.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓cost-diff0
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
✓cost-diff192
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))
Rules
12 644×lower-fma.f32
12 636×lower-fma.f64
3 434×lower-*.f32
3 426×lower-*.f64
1 588×lower-+.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
028235
055221
196221
2182221
3369221
4590221
5931221
61370221
72147219
84186219
96316219
08231219
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 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 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
Outputs
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(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 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)

localize226.0ms (2.2%)

Memory
-1.9MiB live, 322.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy4.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy3.5%
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓accuracy0.9%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓accuracy0.9%
(*.f64 x x)
✓accuracy7.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓accuracy5.5%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy4.6%
(+.f64 x #s(literal 1 binary64))
✓accuracy2.9%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓accuracy5.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓accuracy4.6%
(sqrt.f64 x)
✓accuracy4.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓accuracy3.9%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy7.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy7.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy3.9%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
✓accuracy3.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
✓accuracy3.0%
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
✓accuracy0.9%
(*.f64 x x)
Samples
112.0ms218×1valid
27.0ms34×2valid
1.0ms4×0valid
Compiler

Compiled 487 to 62 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 27.0ms (27.6% of total)
ival-div: 20.0ms (20.5% of total)
adjust: 19.0ms (19.5% of total)
ival-sqrt: 14.0ms (14.3% of total)
ival-add: 10.0ms (10.2% of total)
ival-sub: 6.0ms (6.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-25.4MiB live, 50.3MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))>
#<alt (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))>
#<alt (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x))>
Outputs
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* 1/8 x)) (pow x 4))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))>
#<alt (* 1/2 (sqrt x))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5)))))))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (/ (sqrt -1) (pow x 5)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* -1/8 (sqrt -1))) (pow x 5))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (/ 1/2 (pow x 23))>
#<alt (/ (+ 1/2 (* 1/8 x)) (pow x 23))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 23))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 23))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 5))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 5)) (* 1/2 (/ 1 (pow x 6))))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (/ (sqrt -1) (pow x 6)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (/ (sqrt -1) (pow x 7))) (* -1/8 (/ (sqrt -1) (pow x 6))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -1/4 x))) 1))) x)>
#<alt (sqrt (/ 1 x))>
#<alt (- (sqrt (/ 1 x)) (* 2 (/ 1 x)))>
#<alt (- (+ (sqrt (/ 1 x)) (/ 4 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ (sqrt (/ 1 x)) (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))>
#<alt (sqrt (/ 1 x))>
#<alt (- (sqrt (/ 1 x)) (* 2 (/ 1 x)))>
#<alt (+ (sqrt (/ 1 x)) (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))>
#<alt (+ (sqrt (/ 1 x)) (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 15))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/4 x))>
#<alt (+ 1 (* 1/4 x))>
#<alt (+ 1 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (* x (+ 1/4 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x))))
2.0ms
x
@0
(/ -1/2 (* x x))
1.0ms
x
@0
(- (/ 1 (sqrt x)) (/ 1 (+ (* x 1/2) 1)))
1.0ms
x
@0
(* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))
1.0ms
x
@-inf
(* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x)))
Compiler

Compiled 599 to 444 computations (25.9% saved)

rewrite344.0ms (3.3%)

Memory
6.7MiB live, 496.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 772×lower-*.f32
4 764×lower-*.f64
4 262×lower-fma.f32
4 254×lower-fma.f64
4 026×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028155
055147
1239129
22117126
08538124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 712
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 x x)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))) (/.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) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
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(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.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)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))

simplify442.0ms (4.2%)

Memory
25.0MiB live, 684.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 056×lower-fma.f64
14 056×lower-fma.f32
4 252×lower-*.f64
4 252×lower-*.f32
3 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492245
19971995
229891944
080391846
Stop Event
1×iter limit
1×node limit
Counts
240 → 234
Calls
Call 1
Inputs
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* 1/8 x)) (pow x 4))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5)))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (/ (sqrt -1) (pow x 5)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* -1/8 (sqrt -1))) (pow x 5))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ 1/2 (pow x 23))
(/ (+ 1/2 (* 1/8 x)) (pow x 23))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 23))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 23))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 5))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 5)) (* 1/2 (/ 1 (pow x 6))))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (/ (sqrt -1) (pow x 6)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (/ (sqrt -1) (pow x 7))) (* -1/8 (/ (sqrt -1) (pow x 6))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -1/4 x))) 1))) x)
(sqrt (/ 1 x))
(- (sqrt (/ 1 x)) (* 2 (/ 1 x)))
(- (+ (sqrt (/ 1 x)) (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(- (+ (sqrt (/ 1 x)) (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
(sqrt (/ 1 x))
(- (sqrt (/ 1 x)) (* 2 (/ 1 x)))
(+ (sqrt (/ 1 x)) (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+ (sqrt (/ 1 x)) (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (sqrt (/ 1 (pow x 15))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 8))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/4 x))
(+ 1 (* 1/4 x))
(+ 1 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (/ 1 x)))
(* x (+ 1/4 (/ 1 x)))
(* x (+ 1/4 (/ 1 x)))
(* 1/4 x)
(* x (+ 1/4 (/ 1 x)))
(* x (+ 1/4 (/ 1 x)))
(* x (+ 1/4 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
Outputs
(/ 1/2 (pow x 4))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/2 (* 1/8 x)) (pow x 4))
(/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5)))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
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(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (/ (sqrt -1) (pow x 5)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(* x (+ 1/4 (/ 1 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(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 x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))

eval173.0ms (1.6%)

Memory
3.9MiB live, 469.7MiB allocated
Compiler

Compiled 28 965 to 3 206 computations (88.9% saved)

prune193.0ms (1.8%)

Memory
-9.8MiB live, 328.6MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 322131 335
Fresh167
Picked235
Done000
Total1 325221 347
Accuracy
100.0%
Counts
1 347 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
83.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
38.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
36.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
▶98.5%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
83.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
▶97.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
98.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
83.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
▶5.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓28.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶99.0%
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
98.5%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
83.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓83.9%
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
83.8%
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
▶68.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
5.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓5.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 629 to 394 computations (37.4% saved)

simplify274.0ms (2.6%)

Memory
0.9MiB live, 479.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff128
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
✓cost-diff704
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓cost-diff384
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
✓cost-diff512
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
✓cost-diff704
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
Rules
5 870×lower-fma.f32
5 866×lower-fma.f64
4 580×lower-*.f32
4 564×lower-*.f64
2 268×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032248
061240
1112238
2229238
3521230
41865230
54310230
08143228
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 x)
x
(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 x (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 x)
x
(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 x (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (fma.f64 x x x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (fma.f64 x x x) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)

localize158.0ms (1.5%)

Memory
-1.1MiB live, 232.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy2.2%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy1.1%
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓accuracy0.6%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓accuracy0.5%
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
✓accuracy3.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy2.3%
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓accuracy2.2%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy1.8%
(-.f64 #s(literal 1 binary64) x)
✓accuracy4.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
✓accuracy4.6%
(*.f64 x (*.f64 x x))
✓accuracy4.3%
(*.f64 x x)
✓accuracy3.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy18.7%
(sqrt.f64 x)
✓accuracy5.7%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
✓accuracy2.2%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
✓accuracy2.2%
(/.f64 #s(literal 1 binary64) x)
✓accuracy1.9%
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
Samples
109.0ms256×0valid
Compiler

Compiled 508 to 68 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 45.0ms (49.6% of total)
ival-mult: 32.0ms (35.3% of total)
ival-sqrt: 6.0ms (6.6% of total)
ival-add: 5.0ms (5.5% of total)
ival-sub: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-12.6MiB live, 64.4MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)>
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))>
#<alt (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x x)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))>
Outputs
#<alt (/ 1/2 (pow x 23))>
#<alt (/ (+ 1/2 (* 1/8 x)) (pow x 23))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 23))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 23))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 5))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 5)) (* 1/2 (/ 1 (pow x 6))))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 5) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 5))) (* -1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (/ 1/2 (pow x 5))>
#<alt (/ (+ 1/2 (* 1/8 x)) (pow x 5))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 5))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 4))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* 1/8 x)) (pow x 4))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))>
#<alt (/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))>
#<alt (* 1/2 (sqrt x))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4)))))>
#<alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5)))))))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (* (pow x 4) (sqrt -1))) (/ 1/2 (* (pow x 5) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))>
#<alt (/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 1/4 (/ 1 (* x (sqrt -1)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/4 (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/4 (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (sqrt (pow x 3)))>
#<alt (+ (sqrt x) (sqrt (pow x 3)))>
#<alt (+ (sqrt x) (sqrt (pow x 3)))>
#<alt (sqrt (pow x 3))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (sqrt (pow x 3))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (sqrt x)>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* (/ (- 1 x) (sqrt x)) (/ -1/2 x))
2.0ms
x
@inf
(* (/ (- 1 x) (sqrt x)) (/ -1/2 x))
1.0ms
x
@-inf
(/ (* (/ -1/2 x) (- (/ 1 x) x)) (* x (/ (+ 1 x) (sqrt x))))
1.0ms
x
@-inf
(* (/ (+ (* 1/2 (+ (sqrt x) (/ (+ (* x 1/4) 1) (* x (sqrt x))))) (/ -1/2 (sqrt x))) x) (/ 1 x))
1.0ms
x
@-inf
(* x (/ (+ 1 x) (sqrt x)))
Compiler

Compiled 822 to 598 computations (27.3% saved)

rewrite502.0ms (4.8%)

Memory
12.3MiB live, 545.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 028×lower-/.f32
5 006×lower-/.f64
4 222×lower-*.f32
4 206×lower-*.f64
2 580×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032200
061190
1243176
22094169
08168165
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 060
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
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(*.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))

simplify709.0ms (6.8%)

Memory
-6.5MiB live, 589.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 446×lower-fma.f64
11 446×lower-fma.f32
4 398×lower-*.f64
4 398×lower-*.f32
2 932×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02222275
15952088
216312018
336281979
086321930
Stop Event
1×iter limit
1×node limit
Counts
276 → 268
Calls
Call 1
Inputs
(/ 1/2 (pow x 23))
(/ (+ 1/2 (* 1/8 x)) (pow x 23))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 23))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 23))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 5))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 5)) (* 1/2 (/ 1 (pow x 6))))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 5) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 5))) (* -1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ 1/2 (pow x 5))
(/ (+ 1/2 (* 1/8 x)) (pow x 5))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 5))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5))))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 4))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* 1/8 x)) (pow x 4))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4)))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5)))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (* (pow x 4) (sqrt -1))) (/ 1/2 (* (pow x 5) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 3)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 1/4 (/ 1 (* x (sqrt -1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/4 (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/4 (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ 1/2 (sqrt -1))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ -1/2 (sqrt -1))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* -1 (sqrt x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ -1/2 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/2) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
1/2
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(* -1/2 (/ (sqrt -1) x))
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(sqrt x)
(+ (sqrt x) (sqrt (pow x 3)))
(+ (sqrt x) (sqrt (pow x 3)))
(+ (sqrt x) (sqrt (pow x 3)))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(sqrt (pow x 3))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(sqrt x)
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
Outputs
(/ 1/2 (pow x 23))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 23 binary64)))
(/ (+ 1/2 (* 1/8 x)) (pow x 23))
(/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 23 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 23))
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 23 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 23))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 23 binary64)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 5))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 5)) (* 1/2 (/ 1 (pow x 6))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 5) (sqrt -1))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 5))) (* -1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 5 binary64))) x))
(/ 1/2 (pow x 5))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1/2 (* 1/8 x)) (pow x 5))
(/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 5))
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* (pow x 2) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+ (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1))))) (pow x 4))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) x))
(/ 1/2 (pow x 4))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/2 (* 1/8 x)) (pow x 4))
(/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/2 (* x (+ 1/8 (* -1/2 (sqrt (pow x 5)))))) (pow x 4))
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1/2 (/ (sqrt -1) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(* -1 (/ (+ (* -1/2 (/ (sqrt -1) x)) (* 1/2 (sqrt -1))) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (sqrt (pow x 3)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(+ (sqrt x) (sqrt (pow x 3)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(+ (sqrt x) (sqrt (pow x 3)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 (pow x 2)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* x (- (/ 1 (pow x 2)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* x (- (/ 1 (pow x 2)) 1))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(sqrt x)
(sqrt.f64 x)
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))

eval290.0ms (2.8%)

Memory
-16.3MiB live, 386.0MiB allocated
Compiler

Compiled 40 695 to 4 686 computations (88.5% saved)

prune224.0ms (2.1%)

Memory
14.9MiB live, 407.6MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 559121 571
Fresh6814
Picked415
Done213
Total1 571221 593
Accuracy
100.0%
Counts
1 593 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
38.1%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
97.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) x)
▶98.6%
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
38.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
36.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
7.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
98.5%
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
▶83.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
▶74.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
97.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
97.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
7.8%
(/.f64 #s(literal 1/2 binary64) x)
✓28.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
83.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
83.8%
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
98.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
98.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓68.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
▶4.7%
#s(literal 1/2 binary64)
Compiler

Compiled 513 to 328 computations (36.1% saved)

simplify256.0ms (2.4%)

Memory
-8.2MiB live, 394.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff896
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
✓cost-diff0
(*.f64 x (*.f64 x (sqrt.f64 x)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
✓cost-diff128
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff192
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
✓cost-diff320
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))
✓cost-diff384
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
Rules
5 646×lower-fma.f64
5 646×lower-fma.f32
2 642×lower-*.f32
2 628×lower-*.f64
1 900×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022132
039132
177132
2187122
3440122
41009122
53157122
67142122
08236121
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 x)
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(*.f64 x x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 x)
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.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)
(sqrt.f64 x)
x
(*.f64 x x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize97.0ms (0.9%)

Memory
27.9MiB live, 183.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy3.5%
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
✓accuracy1.3%
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)
✓accuracy1.1%
(-.f64 #s(literal 1 binary64) x)
✓accuracy0.9%
(sqrt.f64 x)
✓accuracy3.4%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
✓accuracy2.8%
(*.f64 x (*.f64 x (sqrt.f64 x)))
✓accuracy1.1%
(-.f64 #s(literal 1 binary64) x)
✓accuracy0.9%
(sqrt.f64 x)
✓accuracy5.2%
(*.f64 x x)
✓accuracy4.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
✓accuracy4.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
✓accuracy0.9%
(sqrt.f64 x)
✓accuracy1.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
✓accuracy1.1%
(-.f64 #s(literal 1 binary64) x)
✓accuracy1.1%
(*.f64 x #s(literal -2 binary64))
✓accuracy0.9%
(sqrt.f64 x)
Samples
42.0ms256×0valid
Compiler

Compiled 267 to 46 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 12.0ms (45.1% of total)
ival-mult: 10.0ms (37.5% of total)
ival-sub: 2.0ms (7.5% of total)
ival-sqrt: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-1.8MiB live, 34.6MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))>
#<alt (*.f64 x (*.f64 x (sqrt.f64 x)))>
#<alt (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x #s(literal -2 binary64))>
Outputs
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 x) 1/2) x)>
#<alt (/ (- (* 1/2 x) 1/2) x)>
#<alt (/ (- (* 1/2 x) 1/2) x)>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* -1/2 (/ (sqrt -1) x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 (sqrt -1))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (sqrt (pow x 3)))>
#<alt (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))>
#<alt (+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (sqrt (pow x 3)))>
#<alt (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))>
#<alt (+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* -1 (sqrt (/ 1 (pow x 7)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

48 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
(sqrt x)
1.0ms
x
@inf
(* (/ (sqrt x) (- 1 x)) x)
1.0ms
x
@-inf
(* 1/2 (sqrt x))
1.0ms
x
@0
(/ (* 1/2 (sqrt x)) (* x x))
1.0ms
x
@-inf
(* x (* x (sqrt x)))
Compiler

Compiled 440 to 338 computations (23.2% saved)

rewrite277.0ms (2.6%)

Memory
16.4MiB live, 697.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 124×lower-*.f32
5 110×lower-*.f64
4 978×lower-/.f32
4 962×lower-/.f64
2 148×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022104
039104
114287
295184
0879080
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 2 024
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x x)
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 x (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 x))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))
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(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))

simplify296.0ms (2.8%)

Memory
-26.7MiB live, 648.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 728×lower-fma.f64
7 728×lower-fma.f32
2 732×lower-*.f64
2 732×lower-*.f32
1 470×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141203
13061127
28791110
320781096
449551086
081571058
Stop Event
1×iter limit
1×node limit
Counts
192 → 180
Calls
Call 1
Inputs
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ -1/2 (sqrt -1))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(/ -1/2 x)
(/ (- (* 1/2 x) 1/2) x)
(/ (- (* 1/2 x) 1/2) x)
(/ (- (* 1/2 x) 1/2) x)
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ 1/2 (sqrt -1))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(* -1/2 (/ (sqrt -1) x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ -1/2 (sqrt -1))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
x
x
x
x
(* -1 (* x (sqrt -1)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (sqrt -1)))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(- 1/2 (* 1/2 (/ 1 x)))
(/ -1/2 (sqrt -1))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(sqrt x)
(+ (sqrt x) (sqrt (pow x 3)))
(+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))
(+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))))
(sqrt x)
(+ (sqrt x) (sqrt (pow x 3)))
(+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))
(+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))
(* -1 (sqrt (/ 1 x)))
(+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 5))))))
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* -1 (sqrt (/ 1 (pow x 7)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* -1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 (sqrt -1))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 x) 1/2) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 1/2 x) 1/2) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 1/2 x) 1/2) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 (sqrt -1))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (* x (sqrt -1)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1/2 (/ (sqrt -1) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1/2 (/ (sqrt -1) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1/2 (/ (sqrt -1) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1/2 (/ (sqrt -1) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 (sqrt -1))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
x
x
x
x
(* -1 (* x (sqrt -1)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt -1)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt -1)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt -1)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 (sqrt -1))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(- (* 1/2 (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (sqrt (pow x 3)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))
(fma.f64 x (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))
(fma.f64 x (*.f64 x (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)))))
(neg.f64 (fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) x)))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (sqrt (pow x 3)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))
(fma.f64 x (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(+ (sqrt x) (* x (+ (sqrt x) (* x (+ (sqrt x) (sqrt (pow x 3)))))))
(fma.f64 x (*.f64 x (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 5))))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* -1 (sqrt (/ 1 (pow x 7)))))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 x))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval497.0ms (4.8%)

Memory
-170.8MiB live, 812.9MiB allocated
Compiler

Compiled 43 774 to 4 320 computations (90.1% saved)

prune247.0ms (2.4%)

Memory
0.3MiB live, 518.4MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New2 486102 496
Fresh51015
Picked235
Done022
Total2 493252 518
Accuracy
100.0%
Counts
2 518 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
38.1%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
41.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))
98.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
98.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
✓98.6%
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
38.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
36.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
33.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -2 binary64) (fma.f64 x x x))))
7.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
38.1%
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
✓83.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
74.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (sqrt.f64 x)))
74.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (/.f64 x (sqrt.f64 x)))))
97.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
97.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
7.8%
(/.f64 #s(literal 1/2 binary64) x)
✓28.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
76.3%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
83.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
83.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
98.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
✓68.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
✓4.7%
#s(literal 1/2 binary64)
Compiler

Compiled 894 to 334 computations (62.6% saved)

regimes27.0ms (0.3%)

Memory
22.4MiB live, 61.0MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (/.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -2 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

14.0ms
x
10.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes28.0ms (0.3%)

Memory
-53.7MiB live, 47.4MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (/.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -2 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)))
Outputs
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
Calls

2 calls:

16.0ms
x
11.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes18.0ms (0.2%)

Memory
31.6MiB live, 31.6MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (/.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -2 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
Calls

2 calls:

9.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes8.0ms (0.1%)

Memory
-26.1MiB live, 12.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
7.8%1x
7.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0%)

Memory
-30.5MiB live, 8.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
(/.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
7.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.8%1x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
4.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.7%1x
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02965
13965
24365
34565
44665
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

soundness1.3s (12.7%)

Memory
1.8MiB live, 630.5MiB allocated
Rules
16 898×lower-fma.f64
16 898×lower-fma.f32
14 056×lower-fma.f64
14 056×lower-fma.f32
11 446×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032200
061190
1243176
22094169
08168165
028155
055147
1239129
22117126
08538124
03492245
19971995
229891944
080391846
02222275
15952088
216312018
336281979
086321930
0155744
1437667
21368639
34610634
08306583
022104
039104
114287
295184
0879080
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 199 to 125 computations (37.2% saved)

preprocess213.0ms (2%)

Memory
2.8MiB live, 81.1MiB allocated
Compiler

Compiled 208 to 106 computations (49% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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