2cos (problem 3.3.5)

Time bar (total: 15.9s)

analyze140.0ms (0.9%)

Algorithm
1×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 29 to 19 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 9.0ms (25.3% of total)
...c/correct-round.rkt:138:19: 9.0ms (25.3% of total)
ival-mult: 3.0ms (8.4% of total)
ival-<=: 3.0ms (8.4% of total)
ival-<: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-fabs: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% of total)
ival-and: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample9.4s (59%)

Results
4.1s26375×0invalid
2.7s5679×2valid
628.0ms2505×1valid
12.0ms72×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-cos: 2.2s (36.3% of total)
...c/correct-round.rkt:138:19: 761.0ms (12.6% of total)
ival-<: 716.0ms (11.9% of total)
ival-add: 511.0ms (8.5% of total)
ival-<=: 491.0ms (8.1% of total)
ival-mult: 331.0ms (5.5% of total)
ival-sub: 283.0ms (4.7% of total)
backward-pass: 282.0ms (4.7% of total)
ival-fabs: 254.0ms (4.2% of total)
ival-and: 131.0ms (2.2% of total)
const: 51.0ms (0.8% of total)
ival-assert: 34.0ms (0.6% of total)
Bogosity

preprocess68.0ms (0.4%)

Algorithm
1×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
1×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))

explain264.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(-.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))cancellation1310
cos.f64(cos.f64 (+.f64 x eps))sensitivity10
Confusion
Predicted +Predicted -
+1310
-0125
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-00125
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0125
1130
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
188.0ms360×2valid
26.0ms152×1valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-cos: 111.0ms (73% of total)
backward-pass: 25.0ms (16.4% of total)
ival-add: 8.0ms (5.3% of total)
ival-sub: 7.0ms (4.6% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify83.0ms (0.5%)

Algorithm
1×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
9×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
1×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)

localize208.0ms (1.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(cos.f64 (+.f64 x eps))
✓accuracy52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
184.0ms180×2valid
12.0ms76×1valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-add: 114.0ms (64.8% of total)
ival-cos: 51.0ms (29% of total)
backward-pass: 7.0ms (4% of total)
ival-sub: 4.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

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)

rewrite388.0ms (2.4%)

Algorithm
1×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
1×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)))))
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(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))))
(log1p.f64 (expm1.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)))
(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)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(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)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))

simplify160.0ms (1%)

Algorithm
1×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
1×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))
(-.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 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.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)))
(*.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)))
(-.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 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))
(+.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))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(+.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))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(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
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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)))) (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 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))))
(log1p.f64 (expm1.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)))
(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)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(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)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
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))
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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)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(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)

eval41.0ms (0.3%)

Compiler

Compiled 5769 to 1035 computations (82.1% saved)

prune51.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3414345
Fresh000
Picked101
Done000
Total3424346
Accuracy
99.8%
Counts
346 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.1%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶81.5%
(*.f64 (neg.f64 eps) (sin.f64 x))
▶99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
▶99.8%
(*.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)))
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify285.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(neg.f64 eps)
✓cost-diff0
(*.f64 (neg.f64 eps) (sin.f64 x))
✓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
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
Rules
1432×fmm-def
642×fma-define
333×distribute-lft-neg-in
286×cancel-sign-sub-inv
201×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028505
166505
2135505
3261501
4515501
5862501
61610501
72759501
83064501
93201501
103213501
113213501
124329501
134641501
144641501
154641501
164641501
174647501
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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)))
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))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 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 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
x
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
eps
#s(literal 1 binary64)
Outputs
(*.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)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
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))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) 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 -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (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) eps) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (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 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 eps)
eps
(sin.f64 x)
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)

localize253.0ms (1.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 eps)
✓accuracy53.2%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(neg.f64 eps)
✓accuracy100.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓accuracy100.0%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
✓accuracy100.0%
(-.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))
✓accuracy99.8%
(*.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)))
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
Results
157.0ms254×1valid
4.0ms2×3valid
Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-cos: 30.0ms (30.6% of total)
ival-mult: 30.0ms (30.6% of total)
backward-pass: 15.0ms (15.3% of total)
ival-sub: 8.0ms (8.2% of total)
ival-sin: 6.0ms (6.1% of total)
...c/correct-round.rkt:138:19: 4.0ms (4.1% of total)
ival-add: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.2%)

Counts
15 → 175
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (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 (*.f64 (neg.f64 eps) (sin.f64 x))>
#<alt (neg.f64 eps)>
#<alt (sin.f64 x)>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (cos.f64 eps)>
#<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 (*.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 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))>
Outputs
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 #s(literal 1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/30240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) eps)))))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<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 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/4 binary64) eps))))))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
3.0ms
eps
@-inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
3.0ms
eps
@0
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
1.0ms
eps
@0
(* 1/6 (* eps (sin x)))
1.0ms
x
@-inf
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))

rewrite223.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
941×log1p-expm1-u
241×associate-*r*
208×expm1-log1p-u
204×add-cube-cbrt
203×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028399
1449395
26536395
Stop Event
1×node limit
Counts
15 → 338
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
(*.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)
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(sin.f64 x)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
(*.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)))
(-.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))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) eps) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (sqrt.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps))) (neg.f64 (sin.f64 x)))
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(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))

simplify324.0ms (2%)

Algorithm
1×egg-herbie
Rules
706×fma-define
566×fmm-def
347×*-commutative
344×distribute-lft-in
336×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088520839
1214920255
2629020215
Stop Event
1×node limit
Counts
513 → 585
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 #s(literal 1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/30240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) eps)))))))
(*.f64 eps x)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))
(*.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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (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) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.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 -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(+.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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (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) (*.f64 eps (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) (*.f64 eps (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) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) eps)
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) eps) (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.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 (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 -1/2 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 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 1/6 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 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
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(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) (-.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (*.f64 eps (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) eps) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) (-.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))) #s(literal 2 binary64)) eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
Outputs
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/48 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x eps))
(*.f64 x (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 x (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))
(*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/6 binary64) eps)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/36 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 #s(literal 1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/720 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/720 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/30240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) eps)))))))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/30240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 eps #s(literal 1/720 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/30240 binary64)))) (*.f64 eps #s(literal -1/36 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -1/6 binary64) eps))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 eps #s(literal 1/120 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/120 binary64)))) eps))
(*.f64 x (+.f64 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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 eps #s(literal 1/120 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -1/5040 binary64) (*.f64 eps #s(literal 1/120 binary64))) (*.f64 eps #s(literal -1/6 binary64))) eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (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 #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 #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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (cos.f64 x))
(*.f64 (cos.f64 x) (*.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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (cos.f64 x))
(*.f64 (cos.f64 x) (*.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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(+.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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(neg.f64 (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) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
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(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))

eval235.0ms (1.5%)

Compiler

Compiled 14533 to 2789 computations (80.8% saved)

prune141.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New73010740
Fresh000
Picked134
Done000
Total73113744
Accuracy
100.0%
Counts
744 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
▶98.8%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
▶52.1%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶99.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓81.5%
(*.f64 (neg.f64 eps) (sin.f64 x))
80.8%
(*.f64 (neg.f64 eps) x)
✓99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.6%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
✓99.8%
(*.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)))
▶98.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
99.2%
(*.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)))))
▶99.7%
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
72.7%
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
Compiler

Compiled 302 to 213 computations (29.5% saved)

simplify98.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sin.f64 x) eps)
✓cost-diff0
(pow.f64 eps #s(literal 2 binary64))
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
✓cost-diff6592
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(pow.f64 eps #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓cost-diff128
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
✓cost-diff-6336
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
✓cost-diff-6336
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (sin.f64 x) eps)
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
✓cost-diff256
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓cost-diff256
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
Rules
968×fmm-def
868×unsub-neg
398×fma-define
307×associate-/r*
291×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030541
170531
2162531
3305510
4490510
5938510
62412510
74485510
87686510
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
eps
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
#s(literal -1 binary64)
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
eps
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
x
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 x eps)
x
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
#s(literal -1 binary64)
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
Outputs
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (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 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
(neg.f64 (/.f64 (sin.f64 x) eps))
(/.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) eps)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x)))
eps
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 x eps)
(*.f64 eps x)
x
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
(neg.f64 (/.f64 (sin.f64 x) eps))
(/.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) eps)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)

localize138.0ms (0.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (sin.f64 x) eps)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓accuracy99.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓accuracy100.0%
(pow.f64 eps #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓accuracy99.8%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) eps)
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (sin.f64 x) eps)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓accuracy99.8%
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
✓accuracy99.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
Results
67.0ms254×0valid
3.0ms1×3valid
1.0ms1×1valid
Compiler

Compiled 163 to 25 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 15.0ms (43.7% of total)
ival-sub: 5.0ms (14.6% of total)
ival-sin: 4.0ms (11.6% of total)
ival-pow: 3.0ms (8.7% of total)
ival-div: 2.0ms (5.8% of total)
ival-cos: 2.0ms (5.8% of total)
const: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.1%)

Counts
13 → 158
Calls
Call 1
Inputs
#<alt (*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))>
#<alt (/.f64 (sin.f64 x) eps)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 x eps)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<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 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) eps))))>
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#<alt (*.f64 eps x)>
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#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
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#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
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#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
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#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
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#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
Calls

66 calls:

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

rewrite274.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1026×log1p-expm1-u
226×associate-*r*
195×expm1-log1p-u
189×add-exp-log
189×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030348
1442316
26358316
Stop Event
1×node limit
Counts
13 → 414
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
(/.f64 (sin.f64 x) eps)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 x eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 x) eps) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) eps) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) eps) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 x) eps) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))

simplify828.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
734×fmm-def
458×fma-define
331×*-commutative
293×sub-neg
263×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081123994
1195822521
2595522501
Stop Event
1×node limit
Counts
572 → 496
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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.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 -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(+.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 binary64) (/.f64 x eps))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
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 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (cos.f64 x) (*.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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (cos.f64 x) (*.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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (neg.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(+.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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 x (-.f64 (*.f64 x (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (*.f64 eps #s(literal 1/6 binary64)))) (neg.f64 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)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (neg.f64 eps) (fma.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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (neg.f64 eps) (fma.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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (neg.f64 eps) (fma.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 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(+.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 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 #s(literal -1 binary64) (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))

eval88.0ms (0.6%)

Compiler

Compiled 14523 to 2208 computations (84.8% saved)

prune97.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New7526758
Fresh145
Picked415
Done033
Total75714771
Accuracy
100.0%
Counts
771 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
98.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
✓81.5%
(*.f64 (neg.f64 eps) (sin.f64 x))
80.8%
(*.f64 (neg.f64 eps) x)
✓99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
▶99.6%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
✓99.8%
(*.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)))
✓98.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
▶99.2%
(*.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)))))
98.7%
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
▶98.7%
(*.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 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
72.7%
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
▶52.1%
#s(literal 0 binary64)
Compiler

Compiled 295 to 209 computations (29.2% saved)

simplify86.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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-diff0
(/.f64 eps x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
✓cost-diff256
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
✓cost-diff256
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
✓cost-diff128
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
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)))
Rules
931×fma-define
690×times-frac
444×fmm-def
375×cancel-sign-sub-inv
324×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035594
192576
2212576
3545565
41484565
53731565
67644565
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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
#s(literal 0 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
#s(literal -1/2 binary64)
(*.f64 eps eps)
eps
(*.f64 x eps)
x
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
eps
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
#s(literal -1/2 binary64)
(/.f64 eps x)
#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)))))
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)
Outputs
(*.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
#s(literal 0 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps eps)
eps
(*.f64 x eps)
(*.f64 eps x)
x
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
eps
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64)))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
x
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
#s(literal -1/2 binary64)
(/.f64 eps x)
#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 (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 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 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)

localize131.0ms (0.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓accuracy99.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
✓accuracy99.5%
(*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
✓accuracy99.8%
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
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)))
Results
81.0ms252×0valid
10.0ms4×5exit
Compiler

Compiled 190 to 31 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 28.0ms (55.9% of total)
...c/correct-round.rkt:138:19: 5.0ms (10% of total)
ival-sub: 5.0ms (10% of total)
ival-sin: 5.0ms (10% of total)
ival-add: 3.0ms (6% of total)
ival-div: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.2%)

Counts
16 → 231
Calls
Call 1
Inputs
#<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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 eps x)>
#<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 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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)))))>
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) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) eps)))>
#<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 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) 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 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) 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 (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))))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) 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 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) 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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<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 -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))>
#<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 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
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#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<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 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<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 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))>
#<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 -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal -1/6 binary64) eps))))>
#<alt (*.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 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))>
#<alt (*.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))))>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* eps (* x (- (* -1/2 (/ eps x)) 1)))
3.0ms
eps
@0
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
3.0ms
eps
@0
(* eps (* x (- (* -1/2 (/ eps x)) 1)))
1.0ms
eps
@-inf
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
1.0ms
eps
@0
(* x (+ (* 1/6 x) (* 1/4 eps)))

rewrite174.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
287×associate-*r*
268×log1p-expm1-u
268×expm1-log1p-u
263×add-cube-cbrt
262×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034379
1602373
Stop Event
1×node limit
Counts
16 → 398
Calls
Call 1
Inputs
(*.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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps))
(*.f64 eps eps)
(*.f64 eps (*.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 -1/2 binary64) (/.f64 eps x))
(/.f64 eps x)
(*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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)))))
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 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)) (sin.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 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)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.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 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.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 (sin.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (sin.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 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x)))
(-.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 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 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 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64))))
(log1p.f64 (expm1.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)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (fma.f64 (neg.f64 x) eps (*.f64 eps x)))
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(-.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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 (cbrt.f64 (pow.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.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 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.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 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64)) (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)))))
(log1p.f64 (expm1.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)))
(fma.f64 eps #s(literal 1/4 binary64) (*.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 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 (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 (cbrt.f64 (pow.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 (sqrt.f64 eps) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 eps) #s(literal 1/2 binary64)) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps 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 (*.f64 eps x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.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)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (*.f64 eps 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps 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 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps 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 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(pow.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.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))))) #s(literal 3 binary64))
(pow.f64 (pow.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
(sqrt.f64 (pow.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)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (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)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))))))
(cbrt.f64 (pow.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)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (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))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 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))))))
(log1p.f64 (expm1.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 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 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))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 eps 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.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))
(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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.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))
(fma.f64 (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) (*.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))

simplify351.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
633×fma-define
367×*-commutative
241×distribute-rgt-in
233×+-commutative
230×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105724789
1275122662
2731722662
Stop Event
1×node limit
Counts
629 → 656
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) 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)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal -1 binary64))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))) #s(literal -1 binary64))
(-.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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 (cbrt.f64 (pow.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.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 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.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 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 (*.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64)) (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)))))
(log1p.f64 (expm1.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)))
(fma.f64 eps #s(literal 1/4 binary64) (*.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 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 (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 (cbrt.f64 (pow.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 (sqrt.f64 eps) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 eps) #s(literal 1/2 binary64)) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 eps 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 (*.f64 eps x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.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)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (*.f64 eps 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps 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 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps 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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps 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 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (*.f64 eps x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(pow.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.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))))) #s(literal 3 binary64))
(pow.f64 (pow.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
(sqrt.f64 (pow.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)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (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)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))))))
(cbrt.f64 (pow.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)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (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))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (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))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 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))))))
(log1p.f64 (expm1.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 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 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))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 eps 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.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))
(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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.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))
(fma.f64 (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) (*.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))
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) eps)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (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 eps #s(literal -1/2 binary64)) (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 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.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)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
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(*.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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.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))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps 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 x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 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 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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.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))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps 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 x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps 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 x) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.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))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (*.f64 eps 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 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (*.f64 eps (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 (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) (*.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 (pow.f64 (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps 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 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (pow.f64 (*.f64 eps (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)))

eval86.0ms (0.5%)

Compiler

Compiled 13727 to 2913 computations (78.8% saved)

prune102.0ms (0.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New7254729
Fresh145
Picked325
Done044
Total72914743
Accuracy
100.0%
Counts
743 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
99.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) eps))
98.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
98.7%
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
✓81.5%
(*.f64 (neg.f64 eps) (sin.f64 x))
80.8%
(*.f64 (neg.f64 eps) x)
✓99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓99.8%
(*.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)))
99.6%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
✓98.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
99.2%
(*.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)))))
98.7%
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
98.6%
(*.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))))
✓52.1%
#s(literal 0 binary64)
Compiler

Compiled 424 to 219 computations (48.3% saved)

regimes22.0ms (0.1%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 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 (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.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 (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) eps))
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.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)))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)))))
Outputs
(*.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)))
Calls

3 calls:

7.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.0ms
eps
7.0ms
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)

regimes24.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 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 (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.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 (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) eps))
(*.f64 eps (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
Calls

3 calls:

11.0ms
eps
6.0ms
x
5.0ms
(-.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)

regimes19.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 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 (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps))
(*.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 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
Calls

3 calls:

9.0ms
x
5.0ms
eps
4.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 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 (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:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 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:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) (neg.f64 eps)))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (*.f64 eps x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))
(*.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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
Calls

2 calls:

24.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
Outputs
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
Outputs
(*.f64 (neg.f64 eps) x)
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
80.8%1x
80.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
52.1%1eps
52.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
26×*-commutative
21×unsub-neg
18×+-commutative
14×neg-mul-1
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051364
198364
2116364
3130364
4152364
5190364
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(*.f64 (neg.f64 eps) x)
#s(literal 0 binary64)
Outputs
(*.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)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) 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 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 (*.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 #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 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
#s(literal 0 binary64)

soundness903.0ms (5.7%)

Rules
1026×log1p-expm1-u
706×fma-define
633×fma-define
595×distribute-lft-in
566×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105724789
1275122662
2731722662
030348
1442316
26358316
088520839
1214920255
2629020215
055211647
1122211110
2334710801
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 367 to 163 computations (55.6% saved)

preprocess72.0ms (0.5%)

Compiler

Compiled 236 to 118 computations (50% saved)

end0.0ms (0%)

Profiling

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