ENA, Section 1.4, Mentioned, A

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB 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)

sample3.2s (66.7%)

Memory
53.3MiB live, 3 848.0MiB allocated; 842ms collecting garbage
Samples
2.3s5 815×2valid
522.0ms2 412×1valid
2.0ms29×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-cos: 1.1s (46.8% of total)
const: 490.0ms (20.6% of total)
adjust: 426.0ms (17.9% of total)
ival-sub: 221.0ms (9.3% of total)
ival-<=: 109.0ms (4.6% of total)
ival-and: 12.0ms (0.5% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain140.0ms (2.9%)

Memory
-10.1MiB live, 123.2MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1321(-4.2350409717599035e-162)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation1330
Confusion
Predicted +Predicted -
+1320
-1123
Precision
0.9924812030075187
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-10123
Precision?
0.9924812030075187
Recall?
1.0
Freqs
test
numberfreq
0123
1133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms366×2valid
12.0ms144×1valid
0.0ms0valid
Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-cos: 54.0ms (70.4% of total)
adjust: 15.0ms (19.6% of total)
ival-sub: 7.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess186.0ms (3.8%)

Memory
-1.0MiB live, 180.6MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1169
2279
3389
4828
53668
629758
044
064
1154
2244
3394
4804
53504
628704
081624
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Symmetry

(abs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(- 1 (cos x))
(cos x)
Calls

3 calls:

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

simplify145.0ms (3%)

Memory
15.7MiB live, 210.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041103
1119103
2327103
31169103
42844103
55843103
0806692
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(- 1 (cos x))
(cos x)
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
x
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite74.0ms (1.5%)

Memory
-60.7MiB live, 85.7MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1298
02478
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 18
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.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 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.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) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(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)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.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)))))
x

eval3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 324 to 103 computations (68.2% saved)

prune3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New22628
Fresh000
Picked101
Done000
Total23629
Accuracy
100.0%
Counts
29 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
52.5%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 156 to 112 computations (28.2% saved)

series8.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
23 → 37
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 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)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 #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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#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))
Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(pow x 2)
x
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* 1/720 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
Calls

3 calls:

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

simplify183.0ms (3.8%)

Memory
-12.7MiB live, 167.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076299
1198299
2577299
32228299
47333299
08067278
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(pow x 2)
x
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* 1/720 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.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)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(pow x 2)
(*.f64 x x)
x
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1/24 (pow x 2))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))

rewrite88.0ms (1.8%)

Memory
30.2MiB live, 76.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
041154
1166154
01295154
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 213
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 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)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 #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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#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))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (fabs.f64 x)) (fabs.f64 x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) x)) x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/720 binary64) x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
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(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/24 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))

eval36.0ms (0.7%)

Memory
-1.7MiB live, 44.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 888 to 1 083 computations (84.3% saved)

prune47.0ms (1%)

Memory
-38.9MiB live, 17.4MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3222324
Fresh101
Picked145
Done000
Total3246330
Accuracy
100.0%
Counts
330 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #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))))
52.5%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) x))
Compiler

Compiled 78 to 55 computations (29.5% saved)

series4.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
13 → 20
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
x
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(pow x 2)
(- 1 (cos x))
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
Calls

3 calls:

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

simplify154.0ms (3.2%)

Memory
28.8MiB live, 162.9MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054162
1147162
2420162
31573158
45711158
08243145
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
x
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(pow x 2)
(- 1 (cos x))
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.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)) (*.f64 x x) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))

rewrite72.0ms (1.5%)

Memory
-28.0MiB live, 68.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01573
02373
19573
074373
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
13 → 86
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/24 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.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 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -1/2 binary64)

eval28.0ms (0.6%)

Memory
4.9MiB live, 50.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 659 to 480 computations (81.9% saved)

prune11.0ms (0.2%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1250125
Fresh000
Picked022
Done044
Total1256131
Accuracy
100.0%
Counts
131 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(-.f64 #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))))
52.5%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) x))
Compiler

Compiled 186 to 96 computations (48.4% saved)

regimes16.0ms (0.3%)

Memory
-10.7MiB live, 33.9MiB allocated; 2ms collecting garbage
Counts
9 → 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 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #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 (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
Calls

3 calls:

6.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
5.0ms
x
4.0ms
(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)

regimes12.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Counts
7 → 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 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #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))))
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:

4.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(-.f64 #s(literal 1 binary64) (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)

regimes31.0ms (0.6%)

Memory
-13.9MiB live, 29.1MiB allocated; 45ms collecting garbage
Counts
4 → 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 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
Calls

3 calls:

26.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 #s(literal 1 binary64) (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)

regimes5.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB 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:

2.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
52.2%1(cos.f64 x)
52.2%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
52.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

simplify58.0ms (1.2%)

Memory
-23.8MiB live, 64.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
13351
24651
36651
411351
556151
6777951
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))

derivations250.0ms (5.2%)

Memory
-10.1MiB live, 183.8MiB allocated; 42ms collecting garbage
Stop Event
done
Compiler

Compiled 51 to 23 computations (54.9% saved)

preprocess51.0ms (1.1%)

Memory
37.3MiB live, 82.0MiB allocated; 8ms collecting garbage
Remove

(abs x)

Compiler

Compiled 170 to 94 computations (44.7% saved)

end0.0ms (0%)

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

Profiling

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