2cos (problem 3.3.5)

Time bar (total: 18.8s)

analyze115.0ms (0.6%)

Memory
16.2MiB live, 94.6MiB allocated
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 27 to 19 computations (29.6% saved)

sample8.2s (43.7%)

Memory
7.8MiB live, 12 218.0MiB allocated
Samples
3.1s5 479×2valid
2.8s25 998×0invalid
723.0ms2 493×1valid
84.0ms168×3valid
14.0ms116×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.4s
ival-cos: 2.7s (49.4% of total)
const: 585.0ms (10.9% of total)
adjust: 524.0ms (9.7% of total)
ival-fabs: 284.0ms (5.3% of total)
ival-add: 276.0ms (5.1% of total)
ival-sub: 272.0ms (5.1% of total)
ival-<=: 221.0ms (4.1% of total)
ival-mult: 209.0ms (3.9% of total)
ival-<: 197.0ms (3.7% of total)
ival-and: 99.0ms (1.8% of total)
exact: 46.0ms (0.9% of total)
ival-assert: 13.0ms (0.2% of total)
Bogosity

preprocess27.0ms (0.1%)

Memory
-5.1MiB live, 31.7MiB allocated
Algorithm
1×egg-herbie
Rules
108×sub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
80×associate--r+
66×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
13837
28135
315235
427835
537035
644835
748535
853135
954635
1055435
067
197
2147
3207
4287
5437
6767
71017
81447
91597
101677
01677
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (cos (+ x eps)) (cos x))
Outputs
(- (cos (+ x eps)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

explain237.0ms (1.3%)

Memory
-18.0MiB live, 347.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1372(-3.341715800644979e-159 1.0670109309597453e-165)0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50-1(267.25797176322624 5.499816144482922e-13)(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))cancellation1391
cos.f64(cos.f64 (+.f64 x eps))sensitivity41
Confusion
Predicted +Predicted -
+1380
-2116
Precision
0.9857142857142858
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-21115
Precision?
0.9787234042553191
Recall?
1.0
Freqs
test
numberfreq
0116
1137
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
130.0ms320×2valid
34.0ms22×3valid
19.0ms160×1valid
1.0ms10×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-cos: 127.0ms (83.4% of total)
adjust: 14.0ms (9.2% of total)
ival-sub: 6.0ms (3.9% of total)
ival-add: 5.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
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
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
1918
21418
32018
42818
54318
67618
710118
814418
915918
1016718
016718
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (cos (+ x eps)) (cos x))
(cos (+ x eps))
(+ x eps)
x
eps
(cos x)
Outputs
(- (cos (+ x eps)) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos (+ x eps))
(cos.f64 (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(cos x)
(cos.f64 x)

localize89.0ms (0.5%)

Memory
2.3MiB live, 121.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.8%
(cos.f64 (+.f64 x eps))
✓accuracy52.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Samples
63.0ms160×2valid
9.0ms80×1valid
8.0ms11×3valid
0.0ms5×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-cos: 56.0ms (81.5% of total)
adjust: 7.0ms (10.2% of total)
ival-add: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (- (cos (+ x eps)) (cos x))>
#<alt (cos (+ x eps))>
#<alt (+ x eps)>
#<alt (cos x)>
Outputs
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

21 calls:

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

rewrite332.0ms (1.8%)

Memory
-76.8MiB live, 455.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 936×accelerator-lowering-fma.f32
4 936×accelerator-lowering-fma.f64
4 656×*-lowering-*.f32
4 656×*-lowering-*.f64
2 192×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
15016
237616
3468816
0820116
Stop Event
1×iter limit
1×node limit
Counts
4 → 228
Calls
Call 1
Inputs
(- (cos (+ x eps)) (cos x))
(cos (+ x eps))
(+ x eps)
(cos x)
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) (neg.f64 (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(*.f64 (*.f64 (neg.f64 (+.f64 x eps)) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
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(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))

simplify56.0ms (0.3%)

Memory
9.8MiB live, 85.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06336837
16346837
06346837
Stop Event
1×saturated
1×saturated
Counts
228 → 228
Calls
Call 1
Inputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (pow.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))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.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))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps)))) (-.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))))
(*.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))))
(*.f64 (pow.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))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) #s(literal 1 binary64)))
(+.f64 x eps)
(+.f64 eps x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 x eps)) (-.f64 x eps)) (-.f64 x eps)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 x eps)) (-.f64 x eps)) (neg.f64 (-.f64 x eps)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x eps)) (-.f64 x eps))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(*.f64 (*.f64 (neg.f64 (+.f64 x eps)) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))

eval49.0ms (0.3%)

Memory
25.3MiB live, 103.2MiB allocated
Compiler

Compiled 14 518 to 810 computations (94.4% saved)

prune30.0ms (0.2%)

Memory
12.4MiB live, 89.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4533456
Fresh000
Picked011
Done000
Total4534457
Accuracy
99.6%
Counts
457 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.4%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶80.7%
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓52.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify942.0ms (5%)

Memory
8.5MiB live, 1 187.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(cos.f64 x)
✓cost-diff6272
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(neg.f64 (cos.f64 x))
✓cost-diff0
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓cost-diff6528
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff192
(+.f64 eps #s(literal 0 binary64))
✓cost-diff320
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
Rules
54 022×accelerator-lowering-fma.f32
54 022×accelerator-lowering-fma.f64
7 382×+-lowering-+.f64
7 382×+-lowering-+.f32
6 612×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
157144
2136144
3243136
4384136
5590136
61098136
73001136
83187136
93244136
103262136
113267136
123267136
134580136
144646136
154646136
165049136
175079136
185100136
195100136
205100136
09897129
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (+ eps 0) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
-2
(sin (* (+ x (+ x eps)) 1/2))
(* (+ x (+ x eps)) 1/2)
(+ x (+ x eps))
x
(+ x eps)
eps
1/2
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
0
(- (+ (neg (cos x)) (* (cos x) (cos eps))) (* (sin x) (sin eps)))
(+ (neg (cos x)) (* (cos x) (cos eps)))
(neg (cos x))
(cos x)
x
(* (cos x) (cos eps))
(cos eps)
eps
(* (sin x) (sin eps))
(sin x)
(sin eps)
(+ (* (cos x) (cos eps)) (neg (+ (* (sin x) (sin eps)) (cos x))))
(cos x)
x
(cos eps)
eps
(neg (+ (* (sin x) (sin eps)) (cos x)))
(+ (* (sin x) (sin eps)) (cos x))
(sin x)
(sin eps)
Outputs
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (+ eps 0) 1/2)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
-2
#s(literal -2 binary64)
(sin (* (+ x (+ x eps)) 1/2))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* (+ x (+ x eps)) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+ x (+ x eps))
(+.f64 x (+.f64 x eps))
x
(+ x eps)
(+.f64 x eps)
eps
1/2
#s(literal 1/2 binary64)
(sin (* (+ eps 0) 1/2))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* (+ eps 0) 1/2)
(*.f64 eps #s(literal 1/2 binary64))
(+ eps 0)
eps
0
#s(literal 0 binary64)
(- (+ (neg (cos x)) (* (cos x) (cos eps))) (* (sin x) (sin eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+ (neg (cos x)) (* (cos x) (cos eps)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(neg (cos x))
(neg.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
x
(* (cos x) (cos eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos eps)
(cos.f64 eps)
eps
(* (sin x) (sin eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin x)
(sin.f64 x)
(sin eps)
(sin.f64 eps)
(+ (* (cos x) (cos eps)) (neg (+ (* (sin x) (sin eps)) (cos x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos x)
(cos.f64 x)
x
(cos eps)
(cos.f64 eps)
eps
(neg (+ (* (sin x) (sin eps)) (cos x)))
(neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+ (* (sin x) (sin eps)) (cos x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(sin x)
(sin.f64 x)
(sin eps)
(sin.f64 eps)

localize273.0ms (1.5%)

Memory
-4.8MiB live, 387.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
✓accuracy52.4%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
✓accuracy100.0%
(*.f64 (cos.f64 x) (cos.f64 eps))
✓accuracy100.0%
(*.f64 (sin.f64 x) (sin.f64 eps))
✓accuracy99.8%
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓accuracy53.7%
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
✓accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy99.6%
(+.f64 x (+.f64 x eps))
Samples
201.0ms169×2valid
32.0ms82×1valid
2.0ms2×3valid
1.0ms3×0valid
Compiler

Compiled 156 to 28 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-cos: 87.0ms (53.6% of total)
ival-sin: 19.0ms (11.7% of total)
adjust: 18.0ms (11.1% of total)
ival-mult: 13.0ms (8% of total)
ival-add: 13.0ms (8% of total)
ival-neg: 8.0ms (4.9% of total)
ival-sub: 3.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
17 → 348
Calls
Call 1
Inputs
#<alt (* (+ x (+ x eps)) 1/2)>
#<alt (+ eps 0)>
#<alt (* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (+ eps 0) 1/2)))>
#<alt (* -2 (sin (* (+ x (+ x eps)) 1/2)))>
#<alt (+ (neg (cos x)) (* (cos x) (cos eps)))>
#<alt (- (+ (neg (cos x)) (* (cos x) (cos eps))) (* (sin x) (sin eps)))>
#<alt (neg (cos x))>
#<alt (cos x)>
#<alt (+ (* (cos x) (cos eps)) (neg (+ (* (sin x) (sin eps)) (cos x))))>
#<alt (cos eps)>
#<alt (neg (+ (* (sin x) (sin eps)) (cos x)))>
#<alt (+ x (+ x eps))>
#<alt (sin (* (+ x (+ x eps)) 1/2))>
#<alt (sin (* (+ eps 0) 1/2))>
#<alt (* (sin x) (sin eps))>
#<alt (* (cos x) (cos eps))>
#<alt (+ (* (sin x) (sin eps)) (cos x))>
Outputs
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (sin (* 1/2 eps)))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* -2 (* x (cos (* 1/2 eps)))))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -2 (cos (* 1/2 eps))) (* x (sin (* 1/2 eps))))))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -2 (cos (* 1/2 eps))) (* x (+ (sin (* 1/2 eps)) (* 1/3 (* x (cos (* 1/2 eps)))))))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* -2 (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* -2 (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* -2 (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* -2 (sin x))>
#<alt (+ (* -2 (sin x)) (* -1 (* eps (cos x))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* 1/4 (* eps (sin x))))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/4 (sin x)))))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* -2 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* -2 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* -2 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* -2 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* (pow x 2) (+ 1/2 (* -1/2 (cos eps))))) 1)>
#<alt (- (+ (cos eps) (* (pow x 2) (+ 1/2 (+ (* -1/2 (cos eps)) (* (pow x 2) (- (* 1/24 (cos eps)) 1/24)))))) 1)>
#<alt (- (+ (cos eps) (* (pow x 2) (+ 1/2 (+ (* -1/2 (cos eps)) (* (pow x 2) (- (+ (* 1/24 (cos eps)) (* (pow x 2) (+ 1/720 (* -1/720 (cos eps))))) 1/24)))))) 1)>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos x))) (* 1/24 (cos x))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* 1/24 (cos x)) (* (pow eps 2) (+ (* -1/720 (cos x)) (* 1/40320 (* (pow eps 2) (cos x)))))))))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (* (cos eps) (cos x)) (cos x))>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt -1>
#<alt (- (* 1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt (* -1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt -1>
#<alt (- (* -1 (* x (sin eps))) 1)>
#<alt (- (* x (- (* 1/2 x) (sin eps))) 1)>
#<alt (- (* x (- (* x (+ 1/2 (* 1/6 (* x (sin eps))))) (sin eps))) 1)>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (cos x))>
#<alt (- (* -1 (* eps (sin x))) (cos x))>
#<alt (- (* eps (- (* 1/6 (* (pow eps 2) (sin x))) (sin x))) (cos x))>
#<alt (- (* eps (- (* (pow eps 2) (- (* -1/120 (* (pow eps 2) (sin x))) (* -1/6 (sin x)))) (sin x))) (cos x))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt (* -1 (+ (cos x) (* (sin eps) (sin x))))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* x (sin eps))>
#<alt (* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))>
#<alt (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))>
#<alt (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))>
#<alt (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1/2 (* (pow x 2) (cos eps))))>
#<alt (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* 1/24 (* (pow x 2) (cos eps))))))>
#<alt (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos eps))) (* 1/24 (cos eps)))))))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))))>
#<alt (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos x))) (* 1/24 (cos x)))))))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt (* (cos eps) (cos x))>
#<alt 1>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (+ (sin eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (sin eps) (* x (- (* -1/6 (* x (sin eps))) 1/2)))))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* eps (sin x)))>
#<alt (+ (cos x) (* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x))))))>
#<alt (+ (cos x) (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x))))))))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
#<alt (+ (cos x) (* (sin eps) (sin x)))>
Calls

87 calls:

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

rewrite413.0ms (2.2%)

Memory
-13.0MiB live, 719.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 734×accelerator-lowering-fma.f32
4 734×accelerator-lowering-fma.f64
4 330×*-lowering-*.f32
4 330×*-lowering-*.f64
4 176×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026123
1141105
21425105
0853798
Stop Event
1×iter limit
1×node limit
Counts
17 → 856
Calls
Call 1
Inputs
(* (+ x (+ x eps)) 1/2)
(+ eps 0)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (+ eps 0) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(+ (neg (cos x)) (* (cos x) (cos eps)))
(- (+ (neg (cos x)) (* (cos x) (cos eps))) (* (sin x) (sin eps)))
(neg (cos x))
(cos x)
(+ (* (cos x) (cos eps)) (neg (+ (* (sin x) (sin eps)) (cos x))))
(cos eps)
(neg (+ (* (sin x) (sin eps)) (cos x)))
(+ x (+ x eps))
(sin (* (+ x (+ x eps)) 1/2))
(sin (* (+ eps 0) 1/2))
(* (sin x) (sin eps))
(* (cos x) (cos eps))
(+ (* (sin x) (sin eps)) (cos x))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps)))) (-.f64 x (+.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64)) (-.f64 x (+.f64 x eps)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x eps)))
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 eps (/.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps eps)) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 eps eps) eps #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 0 binary64))
(/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(/.f64 (*.f64 eps eps) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (neg.f64 (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 eps eps)) eps))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (/.f64 eps (*.f64 eps eps)) eps))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps eps)) eps) (*.f64 (neg.f64 eps) #s(literal 0 binary64))) (*.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps) (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (*.f64 eps eps)))) (neg.f64 (neg.f64 (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 eps (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(*.f64 eps (/.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 eps (*.f64 eps eps)) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 eps eps) eps)
(*.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps))
(*.f64 (/.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))

simplify342.0ms (1.8%)

Memory
43.0MiB live, 480.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172540213
1172640213
0172640213
Stop Event
1×saturated
1×saturated
Counts
856 → 856
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps)))) (-.f64 x (+.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64)) (-.f64 x (+.f64 x eps)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x eps)))
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 eps (/.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps eps)) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 eps eps) eps #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 0 binary64))
(/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(/.f64 (*.f64 eps eps) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (neg.f64 (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 eps eps)) eps))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (/.f64 eps (*.f64 eps eps)) eps))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps eps)) eps) (*.f64 (neg.f64 eps) #s(literal 0 binary64))) (*.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps) (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (*.f64 eps eps)))) (neg.f64 (neg.f64 (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 eps (*.f64 eps eps)) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps)))) (-.f64 x (+.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64)) (-.f64 x (+.f64 x eps)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x eps)))
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 eps (/.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps eps)) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 eps eps) eps #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 0 binary64))
(/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(/.f64 (*.f64 eps eps) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (neg.f64 (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 eps eps)) eps))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (*.f64 (/.f64 eps (*.f64 eps eps)) eps))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 eps eps)) eps) (*.f64 (neg.f64 eps) #s(literal 0 binary64))) (*.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps) (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (*.f64 eps eps)))) (neg.f64 (neg.f64 (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 eps (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(*.f64 eps (/.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))

eval276.0ms (1.5%)

Memory
25.5MiB live, 514.5MiB allocated
Compiler

Compiled 87 284 to 2 509 computations (97.1% saved)

prune119.0ms (0.6%)

Memory
-28.9MiB live, 267.8MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 717151 732
Fresh000
Picked213
Done011
Total1 719171 736
Accuracy
100.0%
Counts
1 736 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓52.4%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
✓52.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
▶99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
▶42.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
40.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
▶99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
42.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
42.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
36.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64))))
97.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
99.3%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))))
▶97.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
99.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 x eps)))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Compiler

Compiled 880 to 527 computations (40.1% saved)

simplify550.0ms (2.9%)

Memory
22.0MiB live, 996.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff192
(+.f64 eps #s(literal 0 binary64))
✓cost-diff384
(-.f64 (+.f64 x eps) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff192
(+.f64 eps #s(literal 0 binary64))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64))
✓cost-diff1600
(fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
✓cost-diff1344
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps))
✓cost-diff0
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff192
(+.f64 eps #s(literal 0 binary64))
✓cost-diff512
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
Rules
31 830×accelerator-lowering-fma.f32
31 830×accelerator-lowering-fma.f64
5 330×*-lowering-*.f32
5 330×*-lowering-*.f64
2 286×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056529
1138499
2387427
31109427
42634427
56827427
08570405
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* (+ eps 0) 1/2)))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
-2
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(sin (* (+ x x) 1/2))
(* (+ x x) 1/2)
(+ x x)
x
1/2
(cos (* eps 1/2))
(* eps 1/2)
eps
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(cos (* (+ x x) 1/2))
(sin (* eps 1/2))
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
0
(* (* (sin (* eps 1/2)) -2) (sin (* (+ x (+ x eps)) 1/2)))
(* (sin (* eps 1/2)) -2)
(sin (* eps 1/2))
(* eps 1/2)
eps
1/2
-2
(sin (* (+ x (+ x eps)) 1/2))
(* (+ x (+ x eps)) 1/2)
(+ x (+ x eps))
x
(+ x eps)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps eps) (/ 1 eps)) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
-2
(sin (* (+ x (+ x eps)) 1/2))
(* (+ x (+ x eps)) 1/2)
(+ x (+ x eps))
x
(+ x eps)
eps
1/2
(sin (* (* (* eps eps) (/ 1 eps)) 1/2))
(* (* (* eps eps) (/ 1 eps)) 1/2)
(* (* eps eps) (/ 1 eps))
(* eps eps)
(/ 1 eps)
1
(* (* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))) (sin (* (+ eps 0) 1/2)))
(* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)))
-2
(sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))
(* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)
(+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x)
(* (+ x eps) (- x eps))
(+ x eps)
x
eps
(- x eps)
(/ 1 (- x eps))
1
1/2
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
0
(* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))
(* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))))
-2
(sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))
(/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))
(* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2)
(+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps))))
x
(* x x)
(* (+ x eps) (* (+ x eps) (+ x eps)))
(+ x eps)
eps
(* (+ x eps) (+ x eps))
1/2
(+ (* (+ x eps) (- (+ x eps) x)) (* x x))
(- (+ x eps) x)
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
0
Outputs
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* (+ eps 0) 1/2)))
(*.f64 (fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
(*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
-2
#s(literal -2 binary64)
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin (* (+ x x) 1/2))
(sin.f64 x)
(* (+ x x) 1/2)
x
(+ x x)
(+.f64 x x)
x
1/2
#s(literal 1/2 binary64)
(cos (* eps 1/2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* eps 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
eps
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos (* (+ x x) 1/2))
(cos.f64 x)
(sin (* eps 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* (+ eps 0) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (+ eps 0) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(+ eps 0)
eps
0
#s(literal 0 binary64)
(* (* (sin (* eps 1/2)) -2) (sin (* (+ x (+ x eps)) 1/2)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* (sin (* eps 1/2)) -2)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* eps 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* eps 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
eps
1/2
#s(literal 1/2 binary64)
-2
#s(literal -2 binary64)
(sin (* (+ x (+ x eps)) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ x (+ x eps)) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (+ x eps))
(+.f64 x (+.f64 x eps))
x
(+ x eps)
(+.f64 x eps)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps eps) (/ 1 eps)) 1/2)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
-2
#s(literal -2 binary64)
(sin (* (+ x (+ x eps)) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ x (+ x eps)) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (+ x eps))
(+.f64 x (+.f64 x eps))
x
(+ x eps)
(+.f64 x eps)
eps
1/2
#s(literal 1/2 binary64)
(sin (* (* (* eps eps) (/ 1 eps)) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (* (* eps eps) (/ 1 eps)) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(* (* eps eps) (/ 1 eps))
eps
(* eps eps)
(*.f64 eps eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(* (* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))) (sin (* (+ eps 0) 1/2)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
-2
#s(literal -2 binary64)
(sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x)
(+.f64 x (+.f64 x eps))
(* (+ x eps) (- x eps))
(*.f64 (+.f64 x eps) (-.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(- x eps)
(-.f64 x eps)
(/ 1 (- x eps))
(/.f64 #s(literal 1 binary64) (-.f64 x eps))
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(sin (* (+ eps 0) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (+ eps 0) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(+ eps 0)
eps
0
#s(literal 0 binary64)
(* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))))))
(* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))))))
-2
#s(literal -2 binary64)
(sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))))
(/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))))
(* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))))
(+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps))))
(fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x)))
x
(* x x)
(*.f64 x x)
(* (+ x eps) (* (+ x eps) (+ x eps)))
(*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))
(+ x eps)
(+.f64 x eps)
eps
(* (+ x eps) (+ x eps))
(*.f64 (+.f64 x eps) (+.f64 x eps))
1/2
#s(literal 1/2 binary64)
(+ (* (+ x eps) (- (+ x eps) x)) (* x x))
(fma.f64 x x (*.f64 eps (+.f64 x eps)))
(- (+ x eps) x)
eps
(sin (* (+ eps 0) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (+ eps 0) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(+ eps 0)
eps
0
#s(literal 0 binary64)

localize232.0ms (1.2%)

Memory
-40.1MiB live, 376.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
✓accuracy99.6%
(*.f64 (+.f64 x eps) (+.f64 x eps))
✓accuracy60.8%
(-.f64 (+.f64 x eps) x)
✓accuracy39.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (-.f64 x eps))
✓accuracy64.6%
(fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x)
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy99.6%
(+.f64 x (+.f64 x eps))
✓accuracy55.3%
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps))
✓accuracy100.0%
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy99.6%
(+.f64 x (+.f64 x eps))
✓accuracy100.0%
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
✓accuracy100.0%
(fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Samples
116.0ms252×0valid
13.0ms4×5exit
Compiler

Compiled 648 to 58 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 37.0ms (45.6% of total)
ival-sin: 20.0ms (24.6% of total)
ival-add: 10.0ms (12.3% of total)
ival-div: 5.0ms (6.2% of total)
ival-cos: 4.0ms (4.9% of total)
ival-sub: 2.0ms (2.5% of total)
adjust: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.3%)

Memory
-1.2MiB live, 78.7MiB allocated
Counts
27 → 576
Calls
Call 1
Inputs
#<alt (* (+ x x) 1/2)>
#<alt (+ eps 0)>
#<alt (* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* (+ eps 0) 1/2)))>
#<alt (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))>
#<alt (* (+ x (+ x eps)) 1/2)>
#<alt (* (* (sin (* eps 1/2)) -2) (sin (* (+ x (+ x eps)) 1/2)))>
#<alt (* (sin (* eps 1/2)) -2)>
#<alt (sin (* eps 1/2))>
#<alt (* (* eps eps) (/ 1 eps))>
#<alt (* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps eps) (/ 1 eps)) 1/2)))>
#<alt (* -2 (sin (* (+ x (+ x eps)) 1/2)))>
#<alt (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x)>
#<alt (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)>
#<alt (* (* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))) (sin (* (+ eps 0) 1/2)))>
#<alt (- (+ x eps) x)>
#<alt (* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))>
#<alt (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))))>
#<alt (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))>
#<alt (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))>
#<alt (cos (* eps 1/2))>
#<alt (+ x (+ x eps))>
#<alt (sin (* (+ x (+ x eps)) 1/2))>
#<alt (/ 1 (- x eps))>
#<alt (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))>
#<alt (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))>
#<alt (* (+ x eps) (+ x eps))>
#<alt (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (sin (* 1/2 eps)))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* -2 (* x (cos (* 1/2 eps)))))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -2 (cos (* 1/2 eps))) (* x (sin (* 1/2 eps))))))>
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#<alt (* -2 (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2))))))>
#<alt (* -2 (sin x))>
#<alt (+ (* -2 (sin x)) (* -1 (* eps (cos x))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* 1/4 (* eps (sin x))))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/4 (sin x)))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2)))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2)))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2)))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2)))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2))))))>
#<alt (* -2 (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2))))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))>
#<alt (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/24 (sin (* 1/2 eps))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/645120 (* (pow eps 2) (cos x))) (* 1/3840 (cos x))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (/ -1 eps)>
#<alt (- (* -1 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ eps x)) x)>
#<alt (/ (- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x))) x)>
#<alt (/ (- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ eps x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow eps 2) x) (* -1 eps)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)) (* -1 eps)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ eps (pow x 2)))>
#<alt (+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x))>
#<alt (+ (* eps (+ (* eps (+ (/ 1 (pow x 3)) (/ eps (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 eps)>
#<alt (/ (- (* -1 (/ x eps)) 1) eps)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow eps 2))) (+ 1 (/ x eps))) eps)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2))))) eps)>
#<alt (/ -1 eps)>
#<alt (* -1 (/ (+ 1 (/ x eps)) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) eps)) x) eps))) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) eps) (* -1 (pow x 2))) eps)) x) eps))) eps))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* x (+ x (* 2 eps))) (pow eps 2))>
#<alt (+ (* x (+ x (* 2 eps))) (pow eps 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* eps x)) (pow x 2))>
#<alt (+ (* eps (+ eps (* 2 x))) (pow x 2))>
#<alt (+ (* eps (+ eps (* 2 x))) (pow x 2))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps (+ eps x)) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps (+ eps x)) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps (+ eps x)) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps (+ eps x)) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (- (pow (- eps (* -1 x)) 3) (* -1 (pow x 3))) (+ (* eps (- eps (* -1 x))) (pow x 2)))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (+ eps x) 3)) (+ (* eps x) (+ (pow eps 2) (pow x 2))))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2)))))>
#<alt (sin (* 1/2 (/ (+ (pow x 3) (pow (- x (* -1 eps)) 3)) (+ (* eps (- x (* -1 eps))) (pow x 2)))))>
Calls

144 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ 1 (- x eps))
2.0ms
x
@-inf
(/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))
2.0ms
x
@inf
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* (+ eps 0) 1/2)))
1.0ms
x
@inf
(* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))
1.0ms
x
@-inf
(* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))

rewrite711.0ms (3.8%)

Memory
-9.7MiB live, 798.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 016×accelerator-lowering-fma.f32
10 016×accelerator-lowering-fma.f64
4 074×*-lowering-*.f32
4 074×*-lowering-*.f64
3 916×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056326
1257135
22526119
08653119
Stop Event
1×iter limit
1×node limit
Counts
27 → 3 952
Calls
Call 1
Inputs
(* (+ x x) 1/2)
(+ eps 0)
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* (+ eps 0) 1/2)))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
(* (+ x (+ x eps)) 1/2)
(* (* (sin (* eps 1/2)) -2) (sin (* (+ x (+ x eps)) 1/2)))
(* (sin (* eps 1/2)) -2)
(sin (* eps 1/2))
(* (* eps eps) (/ 1 eps))
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps eps) (/ 1 eps)) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x)
(* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2)
(* (* -2 (sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))) (sin (* (+ eps 0) 1/2)))
(- (+ x eps) x)
(* (* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))) (sin (* (+ eps 0) 1/2)))
(* -2 (sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))))
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(cos (* eps 1/2))
(+ x (+ x eps))
(sin (* (+ x (+ x eps)) 1/2))
(/ 1 (- x eps))
(sin (* (+ (* (* (+ x eps) (- x eps)) (/ 1 (- x eps))) x) 1/2))
(/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x)))
(* (+ x eps) (+ x eps))
(sin (/ (* (+ (* x (* x x)) (* (+ x eps) (* (+ x eps) (+ x eps)))) 1/2) (+ (* (+ x eps) (- (+ x eps) x)) (* x x))))
Outputs
#s(literal 0 binary64)
eps
(+.f64 x (+.f64 x eps))
(+.f64 x (-.f64 eps x))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (+.f64 x eps))
(+.f64 (-.f64 eps x) x)
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(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))) (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))) (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) #s(literal -1 binary64))
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(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))

simplify656.0ms (3.5%)

Memory
2.4MiB live, 1 151.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0244091268
1244191268
0244191268
Stop Event
1×saturated
1×saturated
Counts
3 952 → 3 952
Calls
Call 1
Inputs
#s(literal 0 binary64)
eps
(+.f64 x (+.f64 x eps))
(+.f64 x (-.f64 eps x))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (+.f64 x eps))
(+.f64 (-.f64 eps x) x)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal -1 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(-.f64 eps (/.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal -1 binary64)))
(-.f64 (+.f64 x eps) x)
(-.f64 (+.f64 x eps) (/.f64 (*.f64 x x) eps))
(-.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))))
(-.f64 (/.f64 #s(literal 0 binary64) eps) (neg.f64 eps))
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(-.f64 (/.f64 (*.f64 x (neg.f64 eps)) (neg.f64 eps)) (*.f64 (/.f64 (+.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 eps #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 (*.f64 eps eps) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x eps) x)
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eps
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(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(neg.f64 (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))) (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))) (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))
Outputs
#s(literal 0 binary64)
eps
(+.f64 x (+.f64 x eps))
(+.f64 x (-.f64 eps x))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (+.f64 x eps))
(+.f64 (-.f64 eps x) x)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal -1 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(-.f64 eps (/.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal -1 binary64)))
(-.f64 (+.f64 x eps) x)
(-.f64 (+.f64 x eps) (/.f64 (*.f64 x x) eps))
(-.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))))
(-.f64 (/.f64 #s(literal 0 binary64) eps) (neg.f64 eps))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 eps)) (*.f64 (/.f64 (+.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps (+.f64 x eps) (*.f64 x eps))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (+.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x eps)))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))
(-.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x eps) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 x eps) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps)))) (/.f64 (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x eps)))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps)))))
(-.f64 (/.f64 (*.f64 x (neg.f64 eps)) (neg.f64 eps)) (*.f64 (/.f64 (+.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 eps x))) (/.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (-.f64 x (-.f64 eps x))))
(-.f64 (/.f64 (*.f64 eps (+.f64 x eps)) (-.f64 (+.f64 x eps) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (+.f64 x eps) (neg.f64 x))))
(fma.f64 eps #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 eps (/.f64 (+.f64 x eps) eps) x)
(fma.f64 eps (/.f64 (+.f64 x eps) eps) (neg.f64 x))
(fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 eps))) #s(literal 0 binary64))
(fma.f64 (+.f64 x eps) #s(literal 1 binary64) x)
(fma.f64 (+.f64 x eps) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x eps) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x eps) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) eps)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 x eps) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) x)
(fma.f64 (-.f64 x eps) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (neg.f64 x))
(fma.f64 (-.f64 x eps) (/.f64 (+.f64 x eps) (-.f64 x eps)) x)
(fma.f64 (-.f64 x eps) (/.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 x))
(fma.f64 (-.f64 x eps) (pow.f64 (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x eps) (pow.f64 (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (-.f64 x eps) (pow.f64 (/.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x eps) (pow.f64 (/.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (/.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (/.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) (neg.f64 x))
(fma.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x (+.f64 x eps))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x)
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eps
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(fma.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(neg.f64 (sin.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))) (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))) (neg.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))) (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))))

eval1.8s (9.6%)

Memory
-57.9MiB live, 2 389.0MiB allocated
Compiler

Compiled 496 394 to 15 847 computations (96.8% saved)

prune676.0ms (3.6%)

Memory
-11.9MiB live, 693.9MiB allocated
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New11 1582211 180
Fresh6410
Picked325
Done022
Total11 1673011 197
Accuracy
100.0%
Counts
11 197 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓52.4%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
✓52.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶50.3%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
40.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64))))
▶56.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) eps) eps x) #s(literal 1/2 binary64))))
51.1%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps (+.f64 x eps)) (*.f64 eps eps)) eps x) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
✓99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
51.4%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
96.1%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
▶99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
42.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
25.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) eps)) (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) #s(literal 1/2 binary64))))
35.1%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64))))
96.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
53.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
53.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
28.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (-.f64 eps x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (*.f64 x (-.f64 eps x))))) #s(literal 1/2 binary64))))
97.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
95.9%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
36.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x eps)))) #s(literal 1/2 binary64))))
▶53.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
▶99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
✓97.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
94.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
96.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 1 604 to 923 computations (42.5% saved)

simplify185.0ms (1%)

Memory
16.8MiB live, 94.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)
✓cost-diff320
(*.f64 (fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x) #s(literal 1/2 binary64))
✓cost-diff448
(/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps))
✓cost-diff3648
(fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)
✓cost-diff320
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
✓cost-diff2816
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))
✓cost-diff448
(*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps))
✓cost-diff1024
(*.f64 eps (/.f64 #s(literal -1 binary64) eps))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
✓cost-diff512
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
✓cost-diff0
(fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
✓cost-diff512
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
Rules
6 074×accelerator-lowering-fma.f32
6 074×accelerator-lowering-fma.f64
4 776×*-lowering-*.f32
4 776×*-lowering-*.f64
2 462×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054491
1141442
2433366
32245364
45324363
08354338
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* eps 1/2)))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
-2
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(sin (* (+ x x) 1/2))
(* (+ x x) 1/2)
(+ x x)
x
1/2
(cos (* eps 1/2))
(* eps 1/2)
eps
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(cos (* (+ x x) 1/2))
(sin (* eps 1/2))
(* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)
(- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps)))))
1/2
(* 1/2 (cos (* 2 (* 1/2 eps))))
(cos (* 2 (* 1/2 eps)))
(* 2 (* 1/2 eps))
2
(* 1/2 eps)
eps
-2
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
-2
(sin (* (+ x (+ x eps)) 1/2))
(* (+ x (+ x eps)) 1/2)
(+ x (+ x eps))
x
(+ x eps)
eps
1/2
(sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2))
(* (* (* eps (/ -1 eps)) (neg eps)) 1/2)
(* (* eps (/ -1 eps)) (neg eps))
(* eps (/ -1 eps))
(/ -1 eps)
-1
(neg eps)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
-2
(sin (* (+ x (+ x eps)) 1/2))
(* (+ x (+ x eps)) 1/2)
(+ x (+ x eps))
x
(+ x eps)
eps
1/2
(sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2))
(* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)
(* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x)))
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
(/ 1 (+ (* eps (+ x eps)) (* x x)))
1
(+ (* eps (+ x eps)) (* x x))
(* x x)
(* (* (sin (* eps 1/2)) -2) (sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)))
(* (sin (* eps 1/2)) -2)
(sin (* eps 1/2))
(* eps 1/2)
eps
1/2
-2
(sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2))
(* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)
(+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x)
(/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps))
(+ x eps)
x
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
(/ 1 (+ (* eps (+ x eps)) (* x x)))
1
(+ (* eps (+ x eps)) (* x x))
(* x x)
(/ eps (+ (* eps (+ x eps)) (* x x)))
Outputs
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* eps 1/2)))
(*.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
(*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
-2
#s(literal -2 binary64)
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin (* (+ x x) 1/2))
(sin.f64 x)
(* (+ x x) 1/2)
x
(+ x x)
(+.f64 x x)
x
1/2
#s(literal 1/2 binary64)
(cos (* eps 1/2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* eps 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
eps
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos (* (+ x x) 1/2))
(cos.f64 x)
(sin (* eps 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps)))))
(fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* 1/2 eps))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 eps))
(cos (* 2 (* 1/2 eps)))
(cos.f64 eps)
(* 2 (* 1/2 eps))
eps
2
#s(literal 2 binary64)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
eps
-2
#s(literal -2 binary64)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
-2
#s(literal -2 binary64)
(sin (* (+ x (+ x eps)) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ x (+ x eps)) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (+ x eps))
(+.f64 x (+.f64 x eps))
x
(+ x eps)
(+.f64 x eps)
eps
1/2
#s(literal 1/2 binary64)
(sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (* (* eps (/ -1 eps)) (neg eps)) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(* (* eps (/ -1 eps)) (neg eps))
eps
(* eps (/ -1 eps))
#s(literal -1 binary64)
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(neg eps)
(neg.f64 eps)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* -2 (sin (* (+ x (+ x eps)) 1/2)))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
-2
#s(literal -2 binary64)
(sin (* (+ x (+ x eps)) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ x (+ x eps)) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (+ x eps))
(+.f64 x (+.f64 x eps))
x
(+ x eps)
(+.f64 x eps)
eps
1/2
#s(literal 1/2 binary64)
(sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
(* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x)))
eps
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
(/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))
(/ 1 (+ (* eps (+ x eps)) (* x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))
1
#s(literal 1 binary64)
(+ (* eps (+ x eps)) (* x x))
(fma.f64 x (+.f64 x eps) (*.f64 eps eps))
(* x x)
(*.f64 x x)
(* (* (sin (* eps 1/2)) -2) (sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* (sin (* eps 1/2)) -2)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* eps 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* eps 1/2)
(*.f64 #s(literal 1/2 binary64) eps)
eps
1/2
#s(literal 1/2 binary64)
-2
#s(literal -2 binary64)
(sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x)
(+.f64 x (+.f64 x eps))
(/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps))
(*.f64 (+.f64 x eps) (-.f64 (/.f64 (*.f64 x (+.f64 x eps)) eps) (neg.f64 eps)))
(+ x eps)
(+.f64 x eps)
x
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
(/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))
(/ 1 (+ (* eps (+ x eps)) (* x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))
1
#s(literal 1 binary64)
(+ (* eps (+ x eps)) (* x x))
(fma.f64 x (+.f64 x eps) (*.f64 eps eps))
(* x x)
(*.f64 x x)
(/ eps (+ (* eps (+ x eps)) (* x x)))
(/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))

localize528.0ms (2.8%)

Memory
9.2MiB live, 206.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x) #s(literal 1/2 binary64)))
✓accuracy85.8%
(fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x)
✓accuracy82.8%
(/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x)))
✓accuracy81.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)
✓accuracy99.8%
(+.f64 x (+.f64 x eps))
✓accuracy99.8%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy83.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))
✓accuracy81.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)
✓accuracy99.9%
(*.f64 eps (/.f64 #s(literal -1 binary64) eps))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(+.f64 x (+.f64 x eps))
✓accuracy99.8%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
✓accuracy75.5%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
✓accuracy100.0%
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓accuracy100.0%
(fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
Samples
231.0ms134×5exit
141.0ms83×4valid
33.0ms26×3valid
6.0ms9×1valid
1.0ms3×0valid
1.0ms1×2valid
Compiler

Compiled 651 to 56 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult: 116.0ms (36.6% of total)
adjust: 62.0ms (19.6% of total)
ival-cos: 58.0ms (18.3% of total)
ival-sin: 35.0ms (11% of total)
ival-add: 21.0ms (6.6% of total)
ival-div: 19.0ms (6% of total)
ival-sub: 4.0ms (1.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory
-28.5MiB live, 8.5MiB allocated
Counts
26 → 504
Calls
Call 1
Inputs
#<alt (* (+ x x) 1/2)>
#<alt (* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* eps 1/2)))>
#<alt (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))>
#<alt (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))>
#<alt (* 2 (* 1/2 eps))>
#<alt (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps)))))>
#<alt (* 1/2 (cos (* 2 (* 1/2 eps))))>
#<alt (* eps (/ -1 eps))>
#<alt (* (* eps (/ -1 eps)) (neg eps))>
#<alt (* (+ x (+ x eps)) 1/2)>
#<alt (* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2)))>
#<alt (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x)))>
#<alt (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)>
#<alt (* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)))>
#<alt (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x)>
#<alt (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps))>
#<alt (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)>
#<alt (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))>
#<alt (cos (* eps 1/2))>
#<alt (cos (* 2 (* 1/2 eps)))>
#<alt (* 1/2 eps)>
#<alt (sin (* (+ x (+ x eps)) 1/2))>
#<alt (+ x (+ x eps))>
#<alt (/ eps (+ (* eps (+ x eps)) (* x x)))>
#<alt (sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (sin (* 1/2 eps)))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* -2 (* x (cos (* 1/2 eps)))))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -2 (cos (* 1/2 eps))) (* x (sin (* 1/2 eps))))))>
#<alt (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -2 (cos (* 1/2 eps))) (* x (+ (sin (* 1/2 eps)) (* 1/3 (* x (cos (* 1/2 eps)))))))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (sin x))>
#<alt (+ (* -2 (sin x)) (* -1 (* eps (cos x))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* 1/4 (* eps (sin x))))))>
#<alt (+ (* -2 (sin x)) (* eps (+ (* -1 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/4 (sin x)))))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* -2 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* -2 (- 1/2 (* 1/2 (cos eps))))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/4 (* (pow eps 2) (- (* 1/1440 (pow eps 2)) 1/48))))>
#<alt (* (pow eps 2) (+ 1/4 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1440 (* -1/80640 (pow eps 2)))) 1/48))))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt (- 1/2 (* 1/2 (cos eps)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/48 (pow eps 2)) 1/4)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/48 (* -1/1440 (pow eps 2)))) 1/4)))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt (* 1/2 (cos eps))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (/ eps (pow x 2))>
#<alt (* eps (+ (* -1 (/ eps (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* eps (+ (* eps (- (/ (pow eps 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* eps (+ (* eps (- (* (pow eps 2) (+ (* -1 (/ eps (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (/ x eps))) eps)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow eps 2)))) (/ x eps)) eps)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow eps 3)))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (/ x eps) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)) x) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) eps)) (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) eps)) (+ (* -1 (pow x 2)) (pow x 2))) eps)) x) eps)) 1) eps))>
#<alt (/ 1 eps)>
#<alt (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (+ (* x (- (/ (pow x 2) (pow eps 4)) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow eps 5))) (/ 1 (pow eps 4)))) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (/ eps (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (pow eps 2) x))) (pow x 2))>
#<alt (/ (- (+ eps (* -1 (/ (+ (* -1 (pow eps 3)) (pow eps 3)) (pow x 2)))) (/ (pow eps 2) x)) (pow x 2))>
#<alt (/ (- (+ eps (* -1 (/ (+ (* -1 (* eps (+ (* -1 (pow eps 3)) (pow eps 3)))) (* -1 (pow eps 4))) (pow x 3)))) (+ (* -1 (/ (pow eps 3) (pow x 2))) (+ (/ (pow eps 2) x) (/ (pow eps 3) (pow x 2))))) (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (pow eps 2) x))) (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (- (+ (* -1 (/ (pow eps 3) x)) (/ (pow eps 3) x)) (* -1 (pow eps 2))) x))) (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (- (* -1 (/ (- (+ (/ (* eps (+ (* -1 (pow eps 3)) (pow eps 3))) x) (/ (pow eps 4) x)) (+ (* -1 (pow eps 3)) (pow eps 3))) x)) (* -1 (pow eps 2))) x))) (pow x 2))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* x (+ (* 2 eps) (* 2 x))) (pow eps 2))>
#<alt (+ (* x (+ (* 2 eps) (* x (+ 2 (/ x eps))))) (pow eps 2))>
#<alt (/ (pow x 3) eps)>
#<alt (* (pow x 3) (+ (/ 1 eps) (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 2 (/ eps (pow x 2))) (+ (/ 1 eps) (* 2 (/ 1 x)))))>
#<alt (* (pow x 3) (+ (* 2 (/ eps (pow x 2))) (+ (/ 1 eps) (+ (* 2 (/ 1 x)) (/ (pow eps 2) (pow x 3))))))>
#<alt (/ (pow x 3) eps)>
#<alt (* (pow x 3) (+ (/ 1 eps) (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ eps x))) x)) (/ 1 eps))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))) x)) (/ 1 eps))))>
#<alt (/ (pow x 3) eps)>
#<alt (/ (+ (* 2 (* eps (pow x 2))) (pow x 3)) eps)>
#<alt (/ (+ (* eps (+ (* 2 (* eps x)) (* 2 (pow x 2)))) (pow x 3)) eps)>
#<alt (/ (+ (* eps (+ (* 2 (pow x 2)) (* eps (+ eps (* 2 x))))) (pow x 3)) eps)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (* 2 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow x 3) (pow eps 3))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -2 (/ (pow x 2) eps))) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (pow x 2)) (/ (pow x 3) eps)) eps))) eps))))>
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))>
#<alt (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/24 (sin (* 1/2 eps))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/645120 (* (pow eps 2) (cos x))) (* 1/3840 (cos x))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (/ eps (pow x 2))>
#<alt (* eps (+ (* -1 (/ eps (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* eps (+ (* eps (- (/ (pow eps 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* eps (+ (* eps (- (* (pow eps 2) (+ (* -1 (/ eps (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (/ x eps))) eps)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow eps 2)))) (/ x eps)) eps)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow eps 3)))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (/ x eps) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)) x) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) eps)) (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) eps)) (+ (* -1 (pow x 2)) (pow x 2))) eps)) x) eps)) 1) eps))>
#<alt (/ 1 eps)>
#<alt (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (+ (* x (- (/ (pow x 2) (pow eps 4)) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow eps 5))) (/ 1 (pow eps 4)))) (/ 1 (pow eps 2)))) (/ 1 eps))>
#<alt (/ eps (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (pow eps 2) x))) (pow x 2))>
#<alt (/ (- (+ eps (* -1 (/ (+ (* -1 (pow eps 3)) (pow eps 3)) (pow x 2)))) (/ (pow eps 2) x)) (pow x 2))>
#<alt (/ (- (+ eps (* -1 (/ (+ (* -1 (* eps (+ (* -1 (pow eps 3)) (pow eps 3)))) (* -1 (pow eps 4))) (pow x 3)))) (+ (* -1 (/ (pow eps 3) (pow x 2))) (+ (/ (pow eps 2) x) (/ (pow eps 3) (pow x 2))))) (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (pow eps 2) x))) (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (- (+ (* -1 (/ (pow eps 3) x)) (/ (pow eps 3) x)) (* -1 (pow eps 2))) x))) (pow x 2))>
#<alt (/ (+ eps (* -1 (/ (- (* -1 (/ (- (+ (/ (* eps (+ (* -1 (pow eps 3)) (pow eps 3))) x) (/ (pow eps 4) x)) (+ (* -1 (pow eps 3)) (pow eps 3))) x)) (* -1 (pow eps 2))) x))) (pow x 2))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
Calls

126 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps)))))
0.0ms
eps
@-inf
(* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)
0.0ms
eps
@inf
(* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)
0.0ms
x
@inf
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
0.0ms
eps
@-inf
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)

rewrite336.0ms (1.8%)

Memory
7.3MiB live, 213.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 804×accelerator-lowering-fma.f32
4 804×accelerator-lowering-fma.f64
4 722×*-lowering-*.f32
4 722×*-lowering-*.f64
4 462×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052367
1251258
22180189
09511173
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 268
Calls
Call 1
Inputs
(* (+ x x) 1/2)
(* (* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))) (sin (* eps 1/2)))
(* -2 (+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))))
(+ (* (sin (* (+ x x) 1/2)) (cos (* eps 1/2))) (* (cos (* (+ x x) 1/2)) (sin (* eps 1/2))))
(* 2 (* 1/2 eps))
(* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps))))) -2)
(- 1/2 (* 1/2 (cos (* 2 (* 1/2 eps)))))
(* 1/2 (cos (* 2 (* 1/2 eps))))
(* eps (/ -1 eps))
(* (* eps (/ -1 eps)) (neg eps))
(* (+ x (+ x eps)) 1/2)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* eps (/ -1 eps)) (neg eps)) 1/2)))
(* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x)))
(* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)
(* (* -2 (sin (* (+ x (+ x eps)) 1/2))) (sin (* (* (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps) (+ (* eps (+ x eps)) (* x x))) 1/2)))
(+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x)
(/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps))
(* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2)
(* (cos (* (+ x x) 1/2)) (sin (* eps 1/2)))
(cos (* eps 1/2))
(cos (* 2 (* 1/2 eps)))
(* 1/2 eps)
(sin (* (+ x (+ x eps)) 1/2))
(+ x (+ x eps))
(/ eps (+ (* eps (+ x eps)) (* x x)))
(sin (* (+ (* (/ (+ x eps) (* (/ 1 (+ (* eps (+ x eps)) (* x x))) eps)) (/ eps (+ (* eps (+ x eps)) (* x x)))) x) 1/2))
Outputs
(+.f64 x x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 x x) #s(literal -1 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x x) #s(literal 1/8 binary64))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
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(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))

simplify260.0ms (1.4%)

Memory
-13.2MiB live, 182.4MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186943956
1187043956
0187043956
Stop Event
1×saturated
1×saturated
Counts
1 268 → 1 268
Calls
Call 1
Inputs
(+.f64 x x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 x x) #s(literal -1 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x x) #s(literal 1/8 binary64))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 1/8 binary64) (+.f64 x x))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 x x))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (sin.f64 (+.f64 x x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (+.f64 x x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 (+.f64 x x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (+.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (+.f64 x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) (*.f64 eps (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 eps (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 eps)) (*.f64 (neg.f64 eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) (*.f64 eps eps))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps)))) (neg.f64 eps))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps))) (neg.f64 (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 x eps) x)))
(/.f64 (fma.f64 eps (*.f64 eps eps) (+.f64 x x)) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 eps) (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps)) (/.f64 #s(literal -1 binary64) eps))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))) (/.f64 (neg.f64 eps) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (/.f64 (neg.f64 eps) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(-.f64 (/.f64 x (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))) (/.f64 (+.f64 x eps) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))))
(-.f64 (/.f64 (-.f64 x eps) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))) (/.f64 x (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))))
(neg.f64 (/.f64 (neg.f64 eps) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))
(/.f64 eps (neg.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 eps) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 eps) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) eps)) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps)) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (neg.f64 eps))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (neg.f64 eps))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (neg.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps))))
(pow.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 eps) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 eps (fma.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 eps eps))))
(*.f64 (/.f64 eps (*.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x x)))) (-.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64))))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) #s(literal 1 binary64) x)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
Outputs
(+.f64 x x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 x x) #s(literal -1 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x x) #s(literal 1/8 binary64))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 1/8 binary64) (+.f64 x x))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 x x))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (+.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) #s(literal 1 binary64) x)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sin.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))

eval342.0ms (1.8%)

Memory
40.9MiB live, 292.5MiB allocated
Compiler

Compiled 146 358 to 5 721 computations (96.1% saved)

prune201.0ms (1.1%)

Memory
-16.9MiB live, 197.6MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New3 09683 104
Fresh51621
Picked325
Done044
Total3 104303 134
Accuracy
100.0%
Counts
3 134 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
✓52.4%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
✓52.1%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50.3%
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
51.4%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
56.7%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) eps) eps x) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) (/.f64 #s(literal 1 binary64) eps) x) #s(literal 1/2 binary64))))
✓99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
96.1%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
99.8%
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
42.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps)) #s(literal 1/2 binary64)) (neg.f64 eps)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
25.2%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) eps)) (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) #s(literal 1/2 binary64))))
35.1%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64))))
96.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
53.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
53.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
56.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) x) x (*.f64 (*.f64 eps (+.f64 x eps)) (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))) #s(literal 1/2 binary64))))
28.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (-.f64 eps x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (*.f64 x (-.f64 eps x))))) #s(literal 1/2 binary64))))
97.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
56.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
95.9%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
✓53.4%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
✓99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
✓97.5%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
94.8%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
96.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 2 096 to 760 computations (63.7% saved)

regimes35.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) eps) eps x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) (/.f64 #s(literal 1 binary64) eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps (+.f64 x eps)) (*.f64 eps eps)) eps x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 x eps)))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps)) #s(literal 1/2 binary64)) (neg.f64 eps)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x eps)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (-.f64 eps x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (*.f64 x (-.f64 eps x))))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) x) x (*.f64 (*.f64 eps (+.f64 x eps)) (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) eps)) (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
Calls

3 calls:

12.0ms
x
12.0ms
eps
9.0ms
(-.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)

regimes33.0ms (0.2%)

Memory
-22.2MiB live, 17.0MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) eps) eps x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) (/.f64 #s(literal 1 binary64) eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps (+.f64 x eps)) (*.f64 eps eps)) eps x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (-.f64 x (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 x eps)))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (neg.f64 eps)) #s(literal 1/2 binary64)) (neg.f64 eps)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x eps)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x))))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (-.f64 eps x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (*.f64 x (-.f64 eps x))))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x eps) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) eps)) (/.f64 eps (fma.f64 eps (+.f64 x eps) (*.f64 x x))) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 (*.f64 (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) x) x (*.f64 (*.f64 eps (+.f64 x eps)) (/.f64 eps (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) eps)) (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Calls

3 calls:

12.0ms
eps
11.0ms
x
9.0ms
(-.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)

regimes8.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
Calls

3 calls:

3.0ms
eps
3.0ms
x
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
Calls

3 calls:

2.0ms
eps
2.0ms
x
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
56.7%1x
56.7%1eps
56.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Calls

3 calls:

2.0ms
eps
2.0ms
x
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
52.1%1x
52.1%1eps
52.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
Outputs
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
50.3%1x
50.3%1eps
50.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
10×+-commutative_binary64
4×sub-neg_binary64
2×*-lft-identity_binary64
2×+-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04482
17082
27482
37682
47782
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x eps)))))
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x))) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 x x)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

soundness549.0ms (2.9%)

Memory
-26.2MiB live, 13.4MiB allocated
Rules
10 016×accelerator-lowering-fma.f32
10 016×accelerator-lowering-fma.f64
4 936×accelerator-lowering-fma.f32
4 936×accelerator-lowering-fma.f64
4 804×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056326
1257135
22526119
08653119
026123
1141105
21425105
0853798
052367
1251258
22180189
09511173
0616
15016
237616
3468816
0820116
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 330 to 187 computations (43.3% saved)

preprocess60.0ms (0.3%)

Memory
14.8MiB live, 55.2MiB allocated
Compiler

Compiled 254 to 136 computations (46.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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