2cos (problem 3.3.5)

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze32.0ms (0.5%)

Memory
31.0MiB live, 77.6MiB allocated; 4ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.6s (84.6%)

Memory
127.7MiB live, 6 294.4MiB allocated; 961ms collecting garbage
Samples
2.3s5 842×2valid
1.8s26 581×0invalid
354.0ms2 356×1valid
6.0ms58×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-cos: 2.1s (62.3% of total)
adjust: 375.0ms (11% of total)
ival-fabs: 290.0ms (8.5% of total)
ival-mult!: 154.0ms (4.5% of total)
ival-sub!: 145.0ms (4.3% of total)
ival-<: 120.0ms (3.5% of total)
ival-add!: 117.0ms (3.4% of total)
ival-and: 65.0ms (1.9% of total)
ival-assert: 14.0ms (0.4% of total)
Bogosity

preprocess35.0ms (0.5%)

Memory
-35.9MiB live, 9.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
114342
2183242
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

rewrite120.0ms (1.8%)

Memory
9.7MiB live, 55.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
17218
2101318
0924518
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 194
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) (cos.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (-.f64 (neg.f64 x) eps))
(cos.f64 (fabs.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.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 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))

eval20.0ms (0.3%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 633 to 1 019 computations (61.3% saved)

prune9.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1828190
Fresh000
Picked011
Done000
Total1829191
Accuracy
80.2%
Counts
191 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
54.7%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
54.7%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
54.5%
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
80.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
80.0%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
6.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
Compiler

Compiled 242 to 210 computations (13.2% saved)

rewrite37.0ms (0.6%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042289
081286
0392283
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
42 → 176
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(PI.f64)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.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) (+.f64 eps x)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(*.f64 #s(literal 2 binary64) (+.f64 eps x))
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 x)
(cos.f64 (+.f64 eps x))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(cos.f64 eps)
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(sin.f64 x)
(neg.f64 (sin.f64 eps))
(sin.f64 eps)
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))
(*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (+.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (fma.f64 x x (*.f64 (+.f64 x eps) x))))
(neg.f64 (-.f64 x (+.f64 x eps)))
(-.f64 (+.f64 x eps) x)
(+.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 eps (-.f64 x x))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
eps
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) x))))
(-.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (+.f64 x x))
(/.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))
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(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fabs.f64 eps))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(sin.f64 x)
(neg.f64 (sin.f64 eps))
(sin.f64 (neg.f64 eps))
(sin.f64 (+.f64 eps (PI.f64)))
(cos.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 eps)

eval21.0ms (0.3%)

Memory
-30.4MiB live, 16.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 867 to 715 computations (61.7% saved)

prune8.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1694173
Fresh123
Picked325
Done011
Total1739182
Accuracy
99.7%
Counts
182 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))))
54.7%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
54.7%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
54.5%
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
80.0%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Compiler

Compiled 236 to 181 computations (23.3% saved)

rewrite143.0ms (2.1%)

Memory
7.7MiB live, 62.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039259
075212
1310152
22944152
08371152
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 686
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (-.f64 x x))
eps
(-.f64 x x)
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(cos.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))
(-.f64 (+.f64 x eps) x)
(+.f64 x eps)
(sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 x eps) x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cos.f64 eps)
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(sin.f64 eps)
(sin.f64 x)
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 eps eps))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) eps)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #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) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 eps x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 eps x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (neg.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 x #s(literal 1/2 binary64)) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
eps
eps
#s(literal 0 binary64)
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 eps eps))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) eps)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #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) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 eps x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 eps x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (neg.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 x #s(literal 1/2 binary64)) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
eps
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.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)))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(+.f64 x eps)
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps))) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 (fabs.f64 eps))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (neg.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) x)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (neg.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) x)) (cos.f64 (-.f64 (fabs.f64 eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps (fabs.f64 x))) (cos.f64 (-.f64 eps (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (neg.f64 eps))) (cos.f64 (-.f64 (fabs.f64 x) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (fabs.f64 eps))) (cos.f64 (-.f64 (fabs.f64 x) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (fabs.f64 eps))) (cos.f64 (-.f64 (neg.f64 x) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (fabs.f64 eps))) (cos.f64 (-.f64 x (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 eps))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(+.f64 (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64)))
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
(fma.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (fabs.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 (fabs.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(*.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 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))))) (neg.f64 (-.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 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))
(/.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 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 eps)) (cos.f64 x))
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(-.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(sin.f64 x)

eval52.0ms (0.8%)

Memory
2.5MiB live, 48.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 360 to 2 406 computations (62.2% saved)

prune19.0ms (0.3%)

Memory
-31.4MiB live, 16.3MiB allocated; 1ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New48510495
Fresh011
Picked415
Done033
Total48915504
Accuracy
99.8%
Counts
504 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
54.8%
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))))
54.7%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
54.7%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
54.5%
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
41.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
39.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
34.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
38.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
54.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Compiler

Compiled 426 to 352 computations (17.4% saved)

series30.0ms (0.5%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
43 → 158
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(+.f64 x eps)
(cos.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps 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 eps #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x)
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(*.f64 (+.f64 x eps) (-.f64 x eps))
(-.f64 x eps)
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (-.f64 x x))
(-.f64 x x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))
(sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))
(*.f64 x eps)
Outputs
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) eps)) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps))))) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (* -1/2 (sin (- (* 1/2 (PI)) eps)))))))) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps)))))))))) 1)))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) eps))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps)))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* -1/2 (* x (sin (- (* 1/2 (PI)) eps)))))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps)))))))))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) eps)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 x) (* 1/2 (PI))) eps)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (* -1 eps))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (+ x (* -1 eps)))))))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (- x x) #s(hole binary64 0))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (pow eps 3))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (* x (+ eps (* 2 eps))))) (* 1/2 (pow eps 3)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (pow eps 3)) (* x (+ (* 1/2 (* eps x)) (* 1/2 (* eps (+ eps (* 2 eps)))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* eps (* x (+ eps (* 2 eps)))) (pow eps 3))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* x (+ (* eps x) (* eps (+ eps (* 2 eps))))) (pow eps 3))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (* 2 eps))) (pow eps 2))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (+ x (* 2 eps)))) (pow eps 2))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) (+ eps x))) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ eps x)))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 x)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (+ 1 (/ eps x))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (/ eps x))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x)))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (* eps (pow x 2)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ eps (* 2 eps))) x))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (+ (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)) (* 1/2 (/ (pow eps 3) (pow x 2))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (* eps (+ eps (* 2 eps))) x)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ (* eps (+ eps (* 2 eps))) x) (/ (pow eps 3) (pow x 2)))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ eps x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (+ (/ eps x) (/ (pow eps 2) (pow x 2))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 x) (* 1/2 (PI))) eps))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/2 (PI)) eps) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ eps (* -1 eps))) (/ (pow eps 2) x)) x))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)) (* 1/2 eps)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow eps 3) x)) (* 1/2 (* eps (+ (* -2 eps) (* -1 eps))))) x)) (* 1/2 eps)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (* eps (+ (* -2 eps) (* -1 eps))) x))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* eps (+ (* -2 eps) (* -1 eps)))) x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 eps)) x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin x)))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) x)) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x)))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x)))))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x)))))))))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) x)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 eps) (* 1/2 (PI))) x)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (+ (* -1 eps) (* -1 x)))) (pow x 2))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (* eps (+ x (* 2 x)))) (* 1/2 (pow x 2))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 eps) (* 1/2 (+ x (* 2 x)))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ x (* 2 x))) (pow x 2)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2)))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ x (* 2 x))) (pow x 2))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* eps (- (* 1/2 (/ (PI) eps)) (+ 1 (/ x eps))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (/ x eps)) 1))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))) 1))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (* 1/2 (/ (+ x (* 2 x)) eps))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (+ (* 1/2 (/ (+ x (* 2 x)) eps)) (* 1/2 (/ (pow x 2) (pow eps 2))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (/ x eps))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ x eps))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 eps) (* 1/2 (PI))) x))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (* 1/2 (PI)) x) eps)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (* -1 x)) eps)) 1))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ (+ (* -2 x) (* -1 x)) eps)) 1/2)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (+ (* -2 x) (* -1 x))) (* 1/2 (/ (pow x 2) eps))) eps)) 1/2)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -2 (/ x eps)) (* -1 (/ x eps))) 1)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (+ (* -2 x) (* -1 x))) (/ (pow x 2) eps)) eps)) 1)))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 x)) eps))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps))
5.0ms
x
@0
((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps))
4.0ms
x
@inf
((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps))
4.0ms
eps
@-inf
((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps))
4.0ms
x
@-inf
((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps))

rewrite168.0ms (2.5%)

Memory
21.2MiB live, 65.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07484372
08083992
152303992
082033746
Stop Event
iter-limit
node-limit
iter-limit
Counts
201 → 409
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(+.f64 x eps)
(cos.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps 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 eps #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x)
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(*.f64 (+.f64 x eps) (-.f64 x eps))
(-.f64 x eps)
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (-.f64 x x))
(-.f64 x x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))
(sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))
(*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))
(*.f64 x eps)
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) eps)) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps))))) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (* -1/2 (sin (- (* 1/2 (PI)) eps)))))))) 1)))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps)))))))))) 1)))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) eps))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps)))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* -1/2 (* x (sin (- (* 1/2 (PI)) eps)))))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps)))))))))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) eps)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 x) (* 1/2 (PI))) eps)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (* -1 eps))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (+ x (* -1 eps)))))))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (- x x) #s(hole binary64 0))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (pow eps 3))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (* x (+ eps (* 2 eps))))) (* 1/2 (pow eps 3)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (pow eps 3)) (* x (+ (* 1/2 (* eps x)) (* 1/2 (* eps (+ eps (* 2 eps)))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* eps (* x (+ eps (* 2 eps)))) (pow eps 3))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* x (+ (* eps x) (* eps (+ eps (* 2 eps))))) (pow eps 3))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (* 2 eps))) (pow eps 2))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (+ x (* 2 eps)))) (pow eps 2))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) (+ eps x))) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ eps x)))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 x)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (+ 1 (/ eps x))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (/ eps x))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x)))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (* eps (pow x 2)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ eps (* 2 eps))) x))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (+ (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)) (* 1/2 (/ (pow eps 3) (pow x 2))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (* eps (+ eps (* 2 eps))) x)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ (* eps (+ eps (* 2 eps))) x) (/ (pow eps 3) (pow x 2)))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ eps x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (+ (/ eps x) (/ (pow eps 2) (pow x 2))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 x) (* 1/2 (PI))) eps))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/2 (PI)) eps) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ eps (* -1 eps))) (/ (pow eps 2) x)) x))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)) (* 1/2 eps)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow eps 3) x)) (* 1/2 (* eps (+ (* -2 eps) (* -1 eps))))) x)) (* 1/2 eps)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (* eps (+ (* -2 eps) (* -1 eps))) x))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* eps (+ (* -2 eps) (* -1 eps)))) x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 eps)) x))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin x)))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) x)) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))) (cos x))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x)))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x)))))))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x)))))))))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) x)))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 eps) (* 1/2 (PI))) x)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (+ (* -1 eps) (* -1 x)))) (pow x 2))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (* eps (+ x (* 2 x)))) (* 1/2 (pow x 2))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 eps) (* 1/2 (+ x (* 2 x)))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ x (* 2 x))) (pow x 2)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2)))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ x (* 2 x))) (pow x 2))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2))))
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* eps (- (* 1/2 (/ (PI) eps)) (+ 1 (/ x eps))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (/ x eps)) 1))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))) 1))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (* 1/2 (/ (+ x (* 2 x)) eps))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (+ (* 1/2 (/ (+ x (* 2 x)) eps)) (* 1/2 (/ (pow x 2) (pow eps 2))))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (/ x eps))))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ x eps))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)) (cos x))))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 eps) (* 1/2 (PI))) x))))
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (* 1/2 (PI)) x) eps)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (* -1 x)) eps)) 1))))
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ (+ (* -2 x) (* -1 x)) eps)) 1/2)))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (+ (* -2 x) (* -1 x))) (* 1/2 (/ (pow x 2) eps))) eps)) 1/2)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -2 (/ x eps)) (* -1 (/ x eps))) 1)))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (+ (* -2 x) (* -1 x))) (/ (pow x 2) eps)) eps)) 1)))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 x)) eps))))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps))))))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) 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))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal -2 binary64)
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))))
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 eps eps (fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 eps (*.f64 x #s(literal -2 binary64))))))
(neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) eps))
(fma.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)) x)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 x eps) (neg.f64 x))
(-.f64 eps (neg.f64 (+.f64 x x)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (neg.f64 (*.f64 x #s(literal -2 binary64))))
(+.f64 eps (+.f64 x x))
(*.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 x eps))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
x
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x)))))
(neg.f64 (-.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))
(-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))
(+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (neg.f64 (cos.f64 x)))
(neg.f64 (sin.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (sin.f64 (-.f64 eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(neg.f64 (sin.f64 (-.f64 x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))))
(sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(fma.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 eps))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))))
(fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps)) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x)) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))))
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps)) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 eps))))
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x)) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 x eps) (+.f64 x eps))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x eps)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (*.f64 eps eps)) (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (*.f64 x x)) (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (fma.f64 eps eps (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (fma.f64 x x (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x))))
(neg.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(neg.f64 (-.f64 x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))
(fma.f64 #s(literal -1 binary64) x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))
(fma.f64 #s(literal -1 binary64) eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (+.f64 x eps)))
(fma.f64 x #s(literal -1 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))
(fma.f64 eps #s(literal -1 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (+.f64 x eps)))
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (neg.f64 eps))
(+.f64 (neg.f64 eps) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (neg.f64 x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 x eps)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
(*.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 x eps))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) 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))) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
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(*.f64 #s(literal -2 binary64) (*.f64 (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)))))
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#s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
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#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 x)))
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#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps (*.f64 #s(literal 1/4 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/4 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/12 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (+ x eps) (- x eps)) (fma.f64 #s(literal 0 binary64) eps (*.f64 x x)))
#s(approx (* (+ x eps) (- x eps)) (fma.f64 (+.f64 (-.f64 x eps) (neg.f64 x)) eps (*.f64 x x)))
#s(approx (- x eps) (-.f64 x eps))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) x eps)) eps (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) eps))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x eps) eps (*.f64 x x)) eps))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (fma.f64 #s(literal 3 binary64) x eps) eps (*.f64 x x)))
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x eps)) eps))
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (- x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x)))
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 1 binary64))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x x) eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (- x eps) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))) eps)) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (neg.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) eps))))
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 x x) eps)) eps)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 x x) eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps)))

eval50.0ms (0.8%)

Memory
-25.5MiB live, 40.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 865 to 2 137 computations (63.6% saved)

prune30.0ms (0.5%)

Memory
-21.7MiB live, 25.9MiB allocated; 1ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New44221463
Fresh426
Picked505
Done134
Total45226478
Accuracy
99.9%
Counts
478 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
54.7%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
54.7%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
53.4%
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
54.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
34.9%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64))
39.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64))
37.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64))
39.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
33.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
33.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
34.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
36.7%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
99.5%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))))
99.6%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x))))
99.6%
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
99.6%
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
99.5%
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
99.5%
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
99.0%
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
81.8%
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
Compiler

Compiled 1 104 to 803 computations (27.3% saved)

regimes31.0ms (0.5%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))))))
Calls

3 calls:

10.0ms
eps
10.0ms
x
8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes29.0ms (0.4%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x))))
Outputs
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Calls

3 calls:

10.0ms
x
10.0ms
eps
7.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.6%1x
99.6%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
-42.0MiB live, 5.5MiB allocated; 1ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Calls

3 calls:

2.0ms
x
2.0ms
eps
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.6%1x
99.6%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.5%1x
99.5%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -18.2b remaining (-157.1%)

Threshold costs -18.2b (-157.1%)

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

3 calls:

1.0ms
eps
1.0ms
x
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
81.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
81.8%1x
81.8%1eps
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations132.0ms (2%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 72 to 55 computations (23.6% saved)

preprocess43.0ms (0.6%)

Memory
-5.0MiB live, 41.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 106 to 86 computations (18.9% saved)

end0.0ms (0%)

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

Profiling

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