ENA, Section 1.4, Mentioned, A

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
0%0%49.6%50.4%0%0%0%1
0%0%49.6%50.4%0%0%0%2
50%24.8%24.8%50.4%0%0%0%3
75%37.2%12.4%50.4%0%0%0%4
87.5%43.4%6.2%50.4%0%0%0%5
93.8%46.5%3.1%50.4%0%0%0%6
96.9%48.1%1.6%50.4%0%0%0%7
98.4%48.8%0.8%50.4%0%0%0%8
99.2%49.2%0.4%50.4%0%0%0%9
99.6%49.4%0.2%50.4%0%0%0%10
99.8%49.5%0.1%50.4%0%0%0%11
99.9%49.6%0%50.4%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.0s (70.2%)

Memory
12.1MiB live, 2 601.9MiB allocated; 684ms collecting garbage
Samples
1.4s5 869×2valid
238.0ms2 377×1valid
5.0ms10×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 948.0ms (72.3% of total)
adjust: 264.0ms (20.1% of total)
ival-sub!: 94.0ms (7.2% of total)
ival-<=: 5.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
Bogosity

preprocess100.0ms (3.5%)

Memory
-13.1MiB live, 42.8MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
12912
212212
358212
4739812
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
4 → 11
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#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 x #s(hole binary64 x))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((- 1 (cos x)) 1 (cos x) x)
0.0ms
x
@0
((- 1 (cos x)) 1 (cos x) x)
0.0ms
x
@-inf
((- 1 (cos x)) 1 (cos x) x)

rewrite123.0ms (4.3%)

Memory
16.4MiB live, 159.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054153
056153
1361153
03981141
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
15 → 53
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#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 x #s(hole binary64 x))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(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 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.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 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
x
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval4.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 316 to 164 computations (48.1% saved)

prune2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450
Accuracy
100.0%
Counts
50 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.9%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.6%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Compiler

Compiled 38 to 37 computations (2.6% saved)

series29.0ms (1%)

Memory
-31.7MiB live, 14.2MiB allocated; 5ms collecting garbage
Counts
19 → 40
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x))
3.0ms
x
@inf
((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x))
2.0ms
x
@0
((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (- 1 (cos x)) 1 (cos x))

rewrite155.0ms (5.4%)

Memory
65.0MiB live, 285.8MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149882
0170824
1793819
08048802
Stop Event
iter-limit
node-limit
iter-limit
Counts
59 → 550
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/576 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1/13824 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
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#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))

eval79.0ms (2.7%)

Memory
-11.5MiB live, 133.9MiB allocated; 37ms collecting garbage
Compiler

Compiled 6 131 to 2 377 computations (61.2% saved)

prune12.0ms (0.4%)

Memory
-24.2MiB live, 22.9MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5763579
Fresh000
Picked224
Done000
Total5785583
Accuracy
100.0%
Counts
583 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
99.9%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.6%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Compiler

Compiled 58 to 54 computations (6.9% saved)

series4.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
16 → 29
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
Outputs
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720)
1.0ms
x
@inf
((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720)
1.0ms
x
@0
((- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) 1/2 x (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) 1/720)

rewrite171.0ms (5.9%)

Memory
-10.9MiB live, 134.8MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109668
0126609
1608607
05357599
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
45 → 367
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
(*.f64 x #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
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(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
(neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))))
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(-.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64)))
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/720 binary64) x)))
(-.f64 #s(literal -1/24 binary64) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/373248000 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) (/.f64 #s(literal -1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(literal 1/720 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (* x x) 1/720) -1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (* x x) 1/720) -1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/720) -1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x))

eval36.0ms (1.3%)

Memory
10.0MiB live, 54.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 234 to 1 505 computations (64.5% saved)

prune9.0ms (0.3%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3770377
Fresh000
Picked033
Done022
Total3775382
Accuracy
100.0%
Counts
382 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
99.9%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.6%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Compiler

Compiled 111 to 94 computations (15.3% saved)

regimes7.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
2.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
100.0%1(cos.f64 x)
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory
-38.1MiB live, 8.4MiB allocated; 2ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

3.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
2.0ms
x
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.9%1(cos.f64 x)
99.9%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.6%1(cos.f64 x)
99.6%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.6%1(cos.f64 x)
99.6%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
52.7%1(cos.f64 x)
52.7%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
52.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations73.0ms (2.5%)

Memory
-7.0MiB live, 44.0MiB allocated; 8ms collecting garbage
Stop Event
done
Compiler

Compiled 39 to 31 computations (20.5% saved)

preprocess35.0ms (1.2%)

Memory
19.2MiB live, 64.1MiB allocated; 6ms collecting garbage
Remove

(abs x)

Compiler

Compiled 155 to 144 computations (7.1% saved)

end0.0ms (0%)

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

Profiling

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