2cos (problem 3.3.5)

Time bar (total: 17.3s)

analyze39.0ms (0.2%)

Memory
6.0MiB live, 44.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample10.0s (58.1%)

Memory
-119.8MiB live, 11 304.9MiB allocated
Samples
3.9s26 117×0invalid
3.7s5 791×2valid
578.0ms2 381×1valid
11.0ms84×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.7s
ival-cos: 3.4s (50.6% of total)
const: 870.0ms (13% of total)
ival-add: 534.0ms (8% of total)
ival-<: 411.0ms (6.2% of total)
ival-fabs: 345.0ms (5.2% of total)
adjust: 268.0ms (4% of total)
ival-mult: 259.0ms (3.9% of total)
ival-sub: 237.0ms (3.6% of total)
ival-<=: 216.0ms (3.2% of total)
ival-and: 100.0ms (1.5% of total)
exact: 44.0ms (0.7% of total)
ival-assert: 13.0ms (0.2% of total)
Bogosity

preprocess217.0ms (1.3%)

Memory
3.2MiB live, 81.0MiB allocated
Algorithm
egg-herbie
Rules
158×fmm-def
91×fma-define
54×sub-neg
41×associate--r+
36×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027234
149218
296210
3184210
4349210
5486210
6636210
7762210
8796210
9822210
10828210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

explain310.0ms (1.8%)

Memory
4.7MiB live, 365.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1422(1.5050386306283197e-158 3.9068266150401176e-166)0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10-0-(cos.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))cancellation1440
cos.f64(cos.f64 (+.f64 x eps))sensitivity10
Confusion
Predicted +Predicted -
+1420
-2112
Precision
0.9861111111111112
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14200
-20112
Precision?
0.9861111111111112
Recall?
1.0
Freqs
test
numberfreq
0112
1143
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
141.0ms176×1valid
119.0ms332×2valid
0.0ms0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-cos: 91.0ms (77.9% of total)
adjust: 13.0ms (11.1% of total)
ival-sub: 8.0ms (6.9% of total)
ival-add: 5.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify44.0ms (0.3%)

Memory
-14.9MiB live, 22.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 x eps)
cost-diff0
(cos.f64 (+.f64 x eps))
cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

localize163.0ms (0.9%)

Memory
12.7MiB live, 128.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(cos.f64 (+.f64 x eps))
accuracy49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Samples
137.0ms166×2valid
17.0ms88×1valid
0.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-cos: 124.0ms (91.7% of total)
adjust: 5.0ms (3.7% of total)
ival-add: 3.0ms (2.2% of total)
ival-sub: 3.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (cos.f64 x)>
Outputs
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (cos.f64 eps)>
#<alt (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(- (cos (+ x eps)) (cos x))
1.0ms
x
@0
(- (cos (+ x eps)) (cos x))
1.0ms
eps
@0
(- (cos (+ x eps)) (cos x))
0.0ms
x
@-inf
(- (cos (+ x eps)) (cos x))
0.0ms
x
@inf
(+ x eps)

rewrite296.0ms (1.7%)

Memory
16.6MiB live, 377.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
454×fma-define
401×log-prod
235×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
116168
2245868
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
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(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (cos.f64 x))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
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(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
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(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 x)))

simplify161.0ms (0.9%)

Memory
-3.2MiB live, 273.8MiB allocated
Algorithm
egg-herbie
Rules
595×distribute-lft-in
524×fmm-def
518×distribute-rgt-in
481×times-frac
316×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055211647
1122211110
2334710801
Stop Event
node limit
Counts
306 → 345
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
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(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
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(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(cos.f64 (+.f64 eps x))
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(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
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eps
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(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
Outputs
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))
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(fma.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))))
(fma.f64 (cos.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

eval99.0ms (0.6%)

Memory
-6.9MiB live, 70.9MiB allocated
Compiler

Compiled 5 769 to 1 035 computations (82.1% saved)

prune126.0ms (0.7%)

Memory
-6.7MiB live, 80.5MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3405345
Fresh000
Picked011
Done000
Total3406346
Accuracy
99.8%
Counts
346 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
48.3%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
79.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.8%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
79.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
Compiler

Compiled 139 to 100 computations (28.1% saved)

simplify99.0ms (0.6%)

Memory
-8.4MiB live, 30.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 eps x)
cost-diff256
(+.f64 x (-.f64 eps x))
cost-diff256
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
cost-diff256
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
cost-diff0
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
cost-diff0
(sin.f64 x)
cost-diff0
(neg.f64 eps)
cost-diff0
(*.f64 (neg.f64 eps) (sin.f64 x))
cost-diff0
(cos.f64 eps)
cost-diff0
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
cost-diff128
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
cost-diff128
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
cost-diff256
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Rules
639×sub-neg
461×distribute-lft-neg-in
369×associate-*r*
363×neg-sub0
351×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043633
191633
2164615
3289567
4508567
51441567
65072567
77827567
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
eps
#s(literal 1 binary64)
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(cos.f64 x)
x
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
#s(literal -2 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
eps
#s(literal 1 binary64)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (-.f64 eps x))
eps
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 eps (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -2 binary64)

localize443.0ms (2.6%)

Memory
0.5MiB live, 313.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
accuracy99.8%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
accuracy61.4%
(+.f64 x (-.f64 eps x))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
accuracy99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy100.0%
(cos.f64 eps)
accuracy50.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
accuracy100.0%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
accuracy100.0%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
accuracy99.8%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Samples
185.0ms172×2valid
89.0ms83×1valid
0.0ms0valid
Compiler

Compiled 205 to 39 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-mult: 88.0ms (37.5% of total)
ival-add: 79.0ms (33.7% of total)
ival-cos: 24.0ms (10.2% of total)
adjust: 19.0ms (8.1% of total)
ival-sin: 15.0ms (6.4% of total)
ival-sub: 7.0ms (3% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series154.0ms (0.9%)

Memory
8.3MiB live, 46.2MiB allocated
Counts
21 → 381
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))>
#<alt (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (cos.f64 eps)>
#<alt (*.f64 (neg.f64 eps) (sin.f64 x))>
#<alt (neg.f64 eps)>
#<alt (sin.f64 x)>
#<alt (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (-.f64 eps x)>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
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#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
Calls

105 calls:

TimeVariablePointExpression
114.0ms
eps
@0
(sin (* 1/2 (+ (* 2 x) eps)))
3.0ms
eps
@-inf
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
2.0ms
x
@-inf
(* (sin (+ (* 1/2 eps) 0)) (* -2 (sin (* 1/2 (+ (* 2 x) eps)))))
1.0ms
eps
@0
(* (sin (+ (* 1/2 eps) 0)) (* -2 (sin (* 1/2 (+ (* 2 x) eps)))))
1.0ms
x
@inf
(* (sin (+ (* 1/2 eps) 0)) (* -2 (sin (* 1/2 (+ (* 2 x) eps)))))

rewrite191.0ms (1.1%)

Memory
14.7MiB live, 134.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
302×log1p-expm1-u
302×expm1-log1p-u
297×add-cube-cbrt
295×add-exp-log
295×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043505
1718391
Stop Event
node limit
Counts
21 → 515
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(sin.f64 x)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
(-.f64 eps x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))

simplify459.0ms (2.7%)

Memory
-20.5MiB live, 535.6MiB allocated
Algorithm
egg-herbie
Rules
449×distribute-lft-in
431×distribute-rgt-in
386×*-commutative
264×times-frac
219×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103622619
1267021392
2772421392
Stop Event
node limit
Counts
896 → 627
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 x))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (sin.f64 x)))))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) eps) (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
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(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(fma.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
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#s(literal 1 binary64)
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x
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(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps x) x))))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(/.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))

eval250.0ms (1.4%)

Memory
13.2MiB live, 164.2MiB allocated
Compiler

Compiled 12 023 to 2 651 computations (78% saved)

prune188.0ms (1.1%)

Memory
23.2MiB live, 182.9MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New65514669
Fresh000
Picked325
Done011
Total65817675
Accuracy
100.0%
Counts
675 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.2%
(*.f64 (fma.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))
99.5%
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
97.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
79.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
78.3%
(*.f64 (neg.f64 eps) x)
99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
98.0%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
99.4%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
49.8%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
47.4%
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
48.3%
#s(literal 0 binary64)
Compiler

Compiled 397 to 276 computations (30.5% saved)

simplify85.0ms (0.5%)

Memory
-13.5MiB live, 25.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
cost-diff128
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
cost-diff128
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
cost-diff-6272
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) eps)
cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff-6336
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
cost-diff-6336
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
cost-diff-6144
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 eps #s(literal 1/2 binary64))
cost-diff0
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
Rules
537×fma-define
528×fmm-def
504×cancel-sign-sub-inv
447×times-frac
398×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042756
197736
2207736
3456712
41033694
52881694
67389694
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x)))
(neg.f64 (*.f64 eps (fma.f64 eps #s(literal 1/2 binary64) x)))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))
x
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) (*.f64 eps eps))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(/.f64 (sin.f64 x) eps)
(sin.f64 x)

localize191.0ms (1.1%)

Memory
14.0MiB live, 320.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (sin.f64 x) eps)
accuracy100.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
accuracy99.8%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
accuracy99.6%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
accuracy99.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
accuracy99.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
accuracy99.4%
(*.f64 #s(literal 1/6 binary64) x)
accuracy100.0%
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
accuracy100.0%
(*.f64 eps #s(literal -1/2 binary64))
accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
accuracy100.0%
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
accuracy99.8%
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Samples
93.0ms255×0valid
0.0ms1valid
Compiler

Compiled 222 to 38 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 48.0ms (63.8% of total)
ival-sin: 11.0ms (14.6% of total)
ival-add: 5.0ms (6.6% of total)
const: 4.0ms (5.3% of total)
ival-sub: 3.0ms (4% of total)
ival-div: 2.0ms (2.7% of total)
ival-cos: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.2%)

Memory
5.0MiB live, 118.7MiB allocated
Counts
20 → 295
Calls
Call 1
Inputs
#<alt (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))>
#<alt (*.f64 eps #s(literal 1/2 binary64))>
#<alt (+.f64 x x)>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))>
#<alt (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))>
#<alt (*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))>
#<alt (/.f64 (sin.f64 x) eps)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
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Calls

96 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
2.0ms
x
@inf
(* 1/6 x)
2.0ms
x
@-inf
(* (sin (* eps 1/2)) (sin (* (+ eps (+ x x)) 1/2)))
1.0ms
x
@inf
(* eps (* eps (- (* -1/2 (cos x)) (/ (sin x) eps))))
1.0ms
x
@-inf
(* eps (* eps (- (* -1/2 (cos x)) (/ (sin x) eps))))

rewrite160.0ms (0.9%)

Memory
-29.2MiB live, 308.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
324×log1p-expm1-u
324×expm1-log1p-u
318×add-cube-cbrt
316×add-exp-log
316×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041530
1706515
Stop Event
node limit
Counts
20 → 388
Calls
Call 1
Inputs
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(+.f64 x x)
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(/.f64 (sin.f64 x) eps)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 x x)))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(+.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))
(+.f64 (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 eps #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))
(pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 eps #s(literal 1/4 binary64)))
(+.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (*.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps)))))
(pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))

simplify321.0ms (1.9%)

Memory
22.4MiB live, 699.0MiB allocated
Algorithm
egg-herbie
Rules
709×fma-define
632×fmm-def
297×distribute-rgt-in
285×distribute-lft-in
267×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0117224783
1306623460
2760223442
Stop Event
node limit
Counts
683 → 700
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
(pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 eps #s(literal 1/4 binary64)))
(+.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (*.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps)))))
(pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))
Outputs
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
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(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) eps))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) eps))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) eps)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 x) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(/.f64 (sin.f64 x) eps)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(/.f64 (sin.f64 x) eps)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) eps)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)

eval91.0ms (0.5%)

Memory
11.7MiB live, 284.6MiB allocated
Compiler

Compiled 13 861 to 3 131 computations (77.4% saved)

prune109.0ms (0.6%)

Memory
-1.1MiB live, 289.1MiB allocated
Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New6919700
Fresh459
Picked145
Done033
Total69621717
Accuracy
100.0%
Counts
717 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.4%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
99.5%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
97.9%
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
79.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
78.3%
(*.f64 (neg.f64 eps) x)
99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
98.6%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
97.9%
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
97.9%
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
98.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
97.9%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
49.8%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
47.4%
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
84.5%
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))
48.3%
#s(literal 0 binary64)
Compiler

Compiled 493 to 344 computations (30.2% saved)

simplify67.0ms (0.4%)

Memory
-12.9MiB live, 68.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff128
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
cost-diff128
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))
cost-diff128
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
cost-diff-6272
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff0
(/.f64 x eps)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 x eps))
cost-diff0
(neg.f64 eps)
cost-diff192
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
cost-diff0
(neg.f64 eps)
cost-diff0
(*.f64 (neg.f64 eps) x)
cost-diff-6144
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
cost-diff-5952
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
Rules
818×fma-define
447×distribute-lft-neg-in
418×times-frac
415×distribute-rgt-neg-in
380×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037637
1102611
2267609
3759544
41893544
54812544
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal -2 binary64)
(*.f64 (neg.f64 eps) x)
(neg.f64 eps)
eps
x
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
eps
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(neg.f64 eps)
(+.f64 #s(literal 1/2 binary64) (/.f64 x eps))
#s(literal 1/2 binary64)
(/.f64 x eps)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (neg.f64 eps))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal -2 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(neg.f64 eps)
eps
x
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 (neg.f64 eps) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) eps x))
eps
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(neg.f64 eps)
(+.f64 #s(literal 1/2 binary64) (/.f64 x eps))
#s(literal 1/2 binary64)
(/.f64 x eps)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
x
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x

localize105.0ms (0.6%)

Memory
4.2MiB live, 200.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) eps)
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))
accuracy99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 x eps))
accuracy99.8%
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
accuracy99.6%
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
accuracy100.0%
(*.f64 (neg.f64 eps) x)
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
accuracy99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Samples
61.0ms255×0valid
1.0ms5exit
Compiler

Compiled 189 to 33 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 20.0ms (48.2% of total)
const: 7.0ms (16.9% of total)
ival-add: 4.0ms (9.6% of total)
ival-sin: 4.0ms (9.6% of total)
ival-div: 2.0ms (4.8% of total)
ival-sub: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
15.1MiB live, 92.2MiB allocated
Counts
17 → 279
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (neg.f64 eps) x)>
#<alt (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))>
#<alt (/.f64 x eps)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 x (*.f64 x #s(literal 1/6 binary64)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))>
#<alt (*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/4 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/96 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) eps))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64))))>
Calls

84 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (* 1/2 eps) (sin (* (+ eps (+ x x)) 1/2)))
2.0ms
eps
@0
(* eps (* (neg eps) (+ 1/2 (/ x eps))))
1.0ms
eps
@0
(* eps (+ (* -1/2 eps) (* x (- (* x (* x 1/6)) 1))))
1.0ms
eps
@inf
(* (* (* 1/2 eps) (sin (* (+ eps (+ x x)) 1/2))) -2)
1.0ms
x
@-inf
(* (* (* 1/2 eps) (sin (* (+ eps (+ x x)) 1/2))) -2)

rewrite146.0ms (0.8%)

Memory
-35.9MiB live, 172.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
329×associate-*r*
287×log1p-expm1-u
287×expm1-log1p-u
285×add-cube-cbrt
282×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037442
1641401
Stop Event
node limit
Counts
17 → 388
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 x eps))
(/.f64 x eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 #s(literal 1/2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(neg.f64 (*.f64 eps x))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))

simplify493.0ms (2.9%)

Memory
-7.0MiB live, 311.4MiB allocated
Algorithm
egg-herbie
Rules
690×associate-*r*
607×associate-*l*
564×fma-define
237×distribute-rgt-in
221×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101123442
1255622021
Stop Event
node limit
Counts
667 → 648
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/4 binary64) (cos.f64 x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/96 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
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(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
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(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 #s(literal -1/2 binary64) eps)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(literal 1/2 binary64)
(/.f64 x eps)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x eps)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x eps)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) eps)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) eps)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) eps)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
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(*.f64 #s(literal 1/6 binary64) x)
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(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))
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(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/8 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/8 binary64) eps))) (neg.f64 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/8 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/8 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 eps (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 eps) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))))
(fma.f64 x (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 eps (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))))))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 eps x) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 eps (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/2 binary64))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 eps (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/4 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/4 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/16 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/96 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/96 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/96 binary64)))) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
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(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal 1/2 binary64)))

eval143.0ms (0.8%)

Memory
16.7MiB live, 210.0MiB allocated
Compiler

Compiled 14 133 to 3 021 computations (78.6% saved)

prune230.0ms (1.3%)

Memory
21.1MiB live, 262.6MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New84310853
Fresh639
Picked325
Done077
Total85222874
Accuracy
100.0%
Counts
874 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
49.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.4%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
99.2%
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
79.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
78.3%
(*.f64 (neg.f64 eps) x)
99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.1%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
98.6%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
97.9%
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
97.9%
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
97.9%
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
97.9%
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
98.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
97.9%
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
47.4%
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
47.4%
(*.f64 eps x)
99.5%
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
48.3%
#s(literal 0 binary64)
Compiler

Compiled 741 to 367 computations (50.5% saved)

regimes34.0ms (0.2%)

Memory
-15.6MiB live, 64.0MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (fma.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Calls

3 calls:

11.0ms
x
10.0ms
eps
10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory
16.2MiB live, 55.2MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
Calls

3 calls:

10.0ms
eps
9.0ms
x
7.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
-31.9MiB live, 49.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
Calls

3 calls:

8.0ms
eps
8.0ms
x
7.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
27.6MiB live, 27.6MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
Calls

2 calls:

7.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-16.4MiB live, 23.1MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
Calls

2 calls:

6.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
Calls

2 calls:

5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-17.6MiB live, 21.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
Calls

2 calls:

9.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 eps x))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(*.f64 eps (*.f64 (neg.f64 eps) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-29.1MiB live, 10.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Outputs
(*.f64 (neg.f64 eps) x)
Calls

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
78.3%1x
78.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total -0.6b remaining (-1.7%)

Threshold costs -0.6b (-1.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 eps x)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
48.3%1x
48.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Rules
35×*-commutative
23×+-commutative
15×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069416
1128416
2160416
3183416
4191416
5192416
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
#s(literal 0 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 x x))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(neg.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
#s(literal 0 binary64)

soundness1.5s (8.9%)

Memory
-3.7MiB live, 1 440.0MiB allocated
Rules
974×log1p-expm1-u
974×expm1-log1p-u
709×fma-define
690×associate-*r*
632×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117224783
1306623460
2760223442
043505
1718391
055211647
1122211110
2334710801
0103622619
1267021392
2772421392
0101123442
1255622021
01268
116168
2245868
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 908 to 312 computations (65.6% saved)

preprocess72.0ms (0.4%)

Memory
-3.5MiB live, 195.5MiB allocated
Compiler

Compiled 308 to 172 computations (44.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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