Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample787.0ms (23.6%)

Memory
63.1MiB live, 1 045.9MiB allocated; 301ms collecting garbage
Samples
490.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 94.0ms (34.4% of total)
ival-div: 91.0ms (33.4% of total)
ival-sub: 69.0ms (25.3% of total)
exact: 8.0ms (2.9% of total)
ival-true: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain94.0ms (2.8%)

Memory
-2.5MiB live, 236.4MiB allocated; 54ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 6 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.5% of total)
ival-mult: 4.0ms (27.7% of total)
ival-sub: 3.0ms (20.8% of total)
exact: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess35.0ms (1.1%)

Memory
19.2MiB live, 55.4MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12614
25514
38614
412914
514014
067
097
1177
2367
3657
4947
51097
61127
01127
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify16.0ms (0.5%)

Memory
-29.1MiB live, 14.5MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11718
23618
36518
49418
510918
611218
011218
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)
Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize29.0ms (0.9%)

Memory
4.1MiB live, 47.9MiB allocated; 17ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy0.03515625
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.9% of total)
ival-div: 2.0ms (31.9% of total)
ival-sub: 1.0ms (16% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
3 → 8
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms
x
@0
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms
x
@-inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify130.0ms (3.9%)

Memory
-12.3MiB live, 140.2MiB allocated; 65ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
13834
28734
329834
4144434
5508234
6687434
0800730
Stop Event
iter limit
node limit
Counts
8 → 8
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite201.0ms (6%)

Memory
-11.3MiB live, 185.8MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13715
221515
3189415
0862215
Stop Event
iter limit
node limit
iter limit
Counts
3 → 194
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))))) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal -27 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 27 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 81 binary64) (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 19683 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 729 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval28.0ms (0.8%)

Memory
-29.6MiB live, 62.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 183 to 760 computations (89.4% saved)

prune5.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1955200
Fresh000
Picked101
Done000
Total1965201
Accuracy
100.0%
Counts
201 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
67.0%
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
54.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 138 to 102 computations (26.1% saved)

simplify24.0ms (0.7%)

Memory
-19.7MiB live, 34.6MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
cost-diff0
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
cost-diff2
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x x #s(literal -3 binary64))
cost-diff0
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
cost-diff0
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030152
045152
165152
2129152
3278150
4503150
5670150
6708150
7714150
0714148
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -36 binary64)
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)
Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -36 binary64)
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)

localize69.0ms (2.1%)

Memory
2.3MiB live, 191.8MiB allocated; 10ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
accuracy0.07421875
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
accuracy0.15140129184914883
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
accuracy18.01391049127225
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
accuracy0.0
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy0.328125
(*.f64 #s(literal 1/6 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.171875
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy34.12045384666286
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy29.243235977136727
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy0.0
(fma.f64 x x #s(literal -3 binary64))
accuracy0.0
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
accuracy0.03515625
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
Samples
47.0ms256×0valid
Compiler

Compiled 136 to 28 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 10.0ms (31% of total)
ival-mult: 9.0ms (27.9% of total)
ival-add: 4.0ms (12.4% of total)
const: 4.0ms (12.4% of total)
ival-pow: 3.0ms (9.3% of total)
ival-sub: 2.0ms (6.2% of total)
exact: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.4%)

Memory
-9.9MiB live, 34.8MiB allocated; 4ms collecting garbage
Counts
16 → 28
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 (pow x 2))
(pow x 2)
(* 1/6 x)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -1/36 (pow x 4))
(pow x 4)
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(- (* -1/6 (pow x 2)) 1/2)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (- (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (pow x 4) -36) (pow x 4) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (+ (* (/ x -6) x) -1/2))
4.0ms
x
@inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (- (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (pow x 4) -36) (pow x 4) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (+ (* (/ x -6) x) -1/2))
3.0ms
x
@0
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (- (/ (/ (pow x 4) -36) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (pow x 4) -36) (pow x 4) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (+ (* (/ x -6) x) -1/2))

simplify102.0ms (3.1%)

Memory
35.8MiB live, 179.0MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088256
1228256
2630252
32406248
08193232
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 (pow x 2))
(pow x 2)
(* 1/6 x)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -1/36 (pow x 4))
(pow x 4)
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(- (* -1/6 (pow x 2)) 1/2)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/18 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18 binary64))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64))) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/36 (pow x 4))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/54 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(- (* -1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal -1/2 binary64))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1/2 binary64))

rewrite211.0ms (6.3%)

Memory
-10.0MiB live, 225.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030134
045127
1157127
21065120
08254120
Stop Event
iter limit
node limit
iter limit
Counts
16 → 362
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))) #s(literal -6 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -27 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -3 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(+.f64 (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
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(*.f64 (*.f64 x (neg.f64 (neg.f64 x))) (*.f64 x (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 (*.f64 x x))))
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(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
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(pow.f64 (*.f64 x x) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x) (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x) (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) #s(literal -1/8 binary64))) (pow.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x #s(literal 6 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x #s(literal -6 binary64))) x))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 x #s(literal -6 binary64)))) x))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x #s(literal -6 binary64))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))

eval73.0ms (2.2%)

Memory
5.2MiB live, 92.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 14 934 to 1 480 computations (90.1% saved)

prune8.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4174421
Fresh000
Picked235
Done000
Total4197426
Accuracy
100.0%
Counts
426 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
76.0%
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
99.9%
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
54.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 94 to 68 computations (27.7% saved)

simplify132.0ms (4%)

Memory
-30.6MiB live, 70.6MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
cost-diff0
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
cost-diff6
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
cost-diff0
(/.f64 x #s(literal -6 binary64))
cost-diff0
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
cost-diff0
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
cost-diff0
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
cost-diff0
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027156
042156
168156
2158156
3515152
41657148
52221148
62329148
72339148
82343148
92346148
102346146
112354146
122358146
132358146
142534146
152940146
162940146
02940144
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(/.f64 x #s(literal -6 binary64))
x
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(/.f64 (*.f64 x x) #s(literal -36 binary64))
#s(literal -36 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)
Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(/.f64 x #s(literal -6 binary64))
x
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) x)
(*.f64 x x)
x
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal -1/2 binary64)
(/.f64 (*.f64 x x) #s(literal -36 binary64))
#s(literal -36 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)

localize71.0ms (2.1%)

Memory
-9.8MiB live, 136.9MiB allocated; 15ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.08822250976844201
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
accuracy0.1015625
(/.f64 (*.f64 x x) #s(literal -36 binary64))
accuracy0.15140129184914883
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
accuracy15.186372481043616
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
accuracy0.0
(/.f64 x #s(literal -6 binary64))
accuracy0.0
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
accuracy0.0
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
accuracy0.078125
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy0.078125
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
accuracy0.328125
(*.f64 #s(literal 1/6 binary64) x)
accuracy34.12045384666286
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
Samples
51.0ms256×0valid
Compiler

Compiled 152 to 27 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.8% of total)
ival-div: 9.0ms (25.2% of total)
ival-sub: 7.0ms (19.6% of total)
const: 4.0ms (11.2% of total)
ival-add: 3.0ms (8.4% of total)
exact: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
15 → 32
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(/.f64 x #s(literal -6 binary64))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* -1/6 x)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(* -1/36 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/6))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
-6
(- (* 18 (/ 1 (pow x 2))) 6)
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (neg (- (* (/ x -6) x) -1/2)) (- (* (/ x -6) x) -1/2) (* (/ x -6) x) (/ x -6) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36))
2.0ms
x
@inf
((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (neg (- (* (/ x -6) x) -1/2)) (- (* (/ x -6) x) -1/2) (* (/ x -6) x) (/ x -6) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36))
2.0ms
x
@0
((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (neg (- (* (/ x -6) x) -1/2)) (- (* (/ x -6) x) -1/2) (* (/ x -6) x) (/ x -6) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ -1/4 (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36))

simplify123.0ms (3.7%)

Memory
-3.9MiB live, 229.8MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113338
1280338
2721338
32519330
47934330
08105316
Stop Event
iter limit
node limit
Counts
32 → 32
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* -1/6 x)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(* -1/36 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/6))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
-6
(- (* 18 (/ 1 (pow x 2))) 6)
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1/2 binary64))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* 1/18 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18 binary64))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64))) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/27 binary64) (*.f64 x x)) #s(literal 2/9 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/54 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/36 (pow x 2))
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal -1/2 binary64))
-6
#s(literal -6 binary64)
(- (* 18 (/ 1 (pow x 2))) 6)
(-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))

rewrite203.0ms (6.1%)

Memory
17.9MiB live, 253.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027131
042114
1139110
2993108
08492108
Stop Event
iter limit
node limit
iter limit
Counts
15 → 481
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(/.f64 x #s(literal -6 binary64))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) x)) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (fabs.f64 (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/12 binary64))))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) x))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(*.f64 (/.f64 x #s(literal -36 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal -36 binary64)))
(*.f64 x (/.f64 x #s(literal -36 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal 36 binary64))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(neg.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)))

eval57.0ms (1.7%)

Memory
7.0MiB live, 104.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 13 981 to 1 365 computations (90.2% saved)

prune11.0ms (0.3%)

Memory
-14.8MiB live, 30.0MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4281429
Fresh000
Picked134
Done033
Total4297436
Accuracy
100.0%
Counts
436 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
99.0%
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
99.9%
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
54.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 97 to 75 computations (22.7% saved)

simplify15.0ms (0.5%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 x x) #s(literal -36 binary64))
cost-diff0
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
cost-diff0
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
cost-diff0
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01887
02587
13987
28287
318787
432987
546187
652387
754487
854887
955187
055187
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(*.f64 x x)
x
#s(literal -36 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -1/2 binary64)
Outputs
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal -36 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(*.f64 (/.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal -36 binary64)) (*.f64 x x))
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(*.f64 x x)
x
#s(literal -36 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
#s(literal -1/4 binary64)
(fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal -6 binary64))
#s(literal -1/2 binary64)

localize38.0ms (1.1%)

Memory
7.0MiB live, 52.2MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08822250976844201
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
accuracy0.1015625
(/.f64 (*.f64 x x) #s(literal -36 binary64))
accuracy0.15140129184914883
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
accuracy33.70771453504409
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 89 to 16 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (45.3% of total)
ival-mult: 5.0ms (32.3% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (1.1%)

Memory
-35.3MiB live, 10.5MiB allocated; 6ms collecting garbage
Counts
5 → 27
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(* -1/36 (pow x 2))
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
-6
(- (* 18 (/ 1 (pow x 2))) 6)
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@inf
((- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36) (/ -1/4 (+ (* (/ x -6) x) -1/2)))
1.0ms
x
@-inf
((- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36) (/ -1/4 (+ (* (/ x -6) x) -1/2)))
1.0ms
x
@0
((- (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ -1/4 (+ (* (/ x -6) x) -1/2))) (* (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36)) (/ (* x x) (+ (* (/ x -6) x) -1/2)) (/ (* x x) -36) (/ -1/4 (+ (* (/ x -6) x) -1/2)))

simplify133.0ms (4%)

Memory
33.1MiB live, 280.7MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109313
1273313
2714313
32511305
47926305
08097291
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/18 (pow x 4))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(* -1/36 (pow x 2))
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
-6
(- (* 18 (/ 1 (pow x 2))) 6)
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/18 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/18 binary64))
(* (pow x 4) (+ 1/18 (* -1/54 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/162 binary64) (*.f64 x x)) #s(literal 1/54 binary64))) (*.f64 x x) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2/3 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2)))) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 2/27 (pow x 2)) 2/9)))) 2))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/27 binary64) (*.f64 x x)) #s(literal 2/9 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x))
(* -1/36 (pow x 2))
(*.f64 (*.f64 #s(literal -1/36 binary64) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/54 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal -1/2 binary64))
-6
#s(literal -6 binary64)
(- (* 18 (/ 1 (pow x 2))) 6)
(-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))
(- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -18 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))

rewrite210.0ms (6.3%)

Memory
3.6MiB live, 235.8MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
02570
17970
248570
3656670
0824069
Stop Event
iter limit
node limit
iter limit
Counts
5 → 117
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) (pow.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (pow.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x)))))
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(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (pow.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))) (/.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (fma.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))) (/.f64 x #s(literal 36 binary64)))
(*.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) (/.f64 x #s(literal -36 binary64)))
(*.f64 (/.f64 x #s(literal -36 binary64)) (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal 36 binary64)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 x #s(literal 36 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) #s(literal -36 binary64)))
(*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(*.f64 x (/.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) #s(literal -36 binary64)))
(/.f64 (*.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) (neg.f64 x)) #s(literal 36 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) x) #s(literal -36 binary64))
(neg.f64 (*.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) x) (/.f64 x #s(literal 36 binary64))))
#s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64))
(*.f64 (/.f64 x #s(literal 36 binary64)) (neg.f64 x))
(*.f64 (/.f64 x #s(literal -36 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 x #s(literal 36 binary64)))
(*.f64 x (/.f64 x #s(literal -36 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal 36 binary64))
(/.f64 (*.f64 x x) #s(literal -36 binary64))
(neg.f64 (pow.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(*.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) #s(literal -1/8 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) #s(literal -1/8 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (pow.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))

eval22.0ms (0.7%)

Memory
-3.3MiB live, 41.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 151 to 552 computations (94.6% saved)

prune9.0ms (0.3%)

Memory
-29.3MiB live, 15.3MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1411142
Fresh000
Picked101
Done066
Total1427149
Accuracy
100.0%
Counts
149 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
99.9%
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) #s(approx (/ -1/4 (+ (* (/ x -6) x) -1/2)) #s(literal 1/2 binary64)))
99.9%
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
46.6%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
54.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 295 to 133 computations (54.9% saved)

regimes13.0ms (0.4%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) #s(approx (/ -1/4 (+ (* (/ x -6) x) -1/2)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(approx (/ (* x x) (+ (* (/ x -6) x) -1/2)) #s(literal -6 binary64)) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))
Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
Calls

4 calls:

4.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x x)
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x x)
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes11.0ms (0.3%)

Memory
-46.2MiB live, 10.5MiB allocated; 9ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
Calls

4 calls:

6.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.0%2(*.f64 x x)
99.0%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.0%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.0%2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Calls

4 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
54.3%1(*.f64 x x)
54.3%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
54.3%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
54.3%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch14.0ms (0.4%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.993839301979434e-11
16.08042219332681
Samples
6.0ms160×0valid
Compiler

Compiled 230 to 210 computations (8.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (29% of total)
ival-div: 1.0ms (29% of total)
ival-mult: 1.0ms (29% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.5%)

Memory
-27.8MiB live, 16.8MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02161
12861
24761
37661
410461
512161
613261
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations324.0ms (9.7%)

Memory
14.5MiB live, 345.3MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030134
045127
1157127
21065120
08254120
01934
13834
28734
329834
4144434
5508234
6687434
0800730
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 61 to 22 computations (63.9% saved)

preprocess51.0ms (1.5%)

Memory
25.4MiB live, 71.3MiB allocated; 13ms collecting garbage
Remove

(abs x)

Compiler

Compiled 160 to 74 computations (53.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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