cos2 (problem 3.4.1)

Time bar (total: 7.0s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.9s (27.2%)

Memory
89.1MiB live, 2 085.9MiB allocated; 517ms collecting garbage
Samples
787.0ms2 229×2valid
391.0ms4 158×0valid
261.0ms619×3valid
165.0ms1 250×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 795.0ms (60.6% of total)
adjust: 176.0ms (13.4% of total)
ival-div: 135.0ms (10.3% of total)
ival-mult: 103.0ms (7.9% of total)
ival-sub: 88.0ms (6.7% of total)
ival-true: 6.0ms (0.5% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain141.0ms (2%)

Memory
-35.1MiB live, 151.7MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
840-1(1.0075940476287405e+305)(-.f64 #s(literal 1 binary64) (cos.f64 x))
590-1(1.7510065164544445e-156)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation834
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u540
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow54
(*.f64 x x)underflow54
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o40
(*.f64 x x)overflow64
Confusion
Predicted +Predicted -
+1410
-0115
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14100
-04111
Precision?
0.9724137931034482
Recall?
1.0
Freqs
test
numberfreq
0115
1141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms134×2valid
21.0ms256×0valid
19.0ms40×3valid
9.0ms82×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-cos: 48.0ms (65.9% of total)
adjust: 9.0ms (12.4% of total)
ival-div: 6.0ms (8.2% of total)
ival-sub: 5.0ms (6.9% of total)
ival-mult: 4.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess185.0ms (2.6%)

Memory
43.6MiB live, 175.6MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
13517
210017
315717
422817
530717
654117
7118717
8253817
9500917
068
0108
1278
2628
31088
41548
52088
62948
75288
811738
925208
1049728
080408
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify153.0ms (2.2%)

Memory
-16.9MiB live, 130.4MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
12719
26219
310819
415419
520819
629419
752819
8117319
9252019
10497219
0804019
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

localize69.0ms (1%)

Memory
-7.2MiB live, 94.3MiB allocated; 18ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(cos.f64 x)
accuracy13.735702196201883
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy17.760436162203955
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
23.0ms67×2valid
10.0ms128×0valid
10.0ms20×3valid
5.0ms41×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 26.0ms (67.9% of total)
adjust: 4.0ms (10.4% of total)
ival-div: 3.0ms (7.8% of total)
ival-sub: 3.0ms (7.8% of total)
ival-mult: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
4 → 16
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Calls

3 calls:

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

simplify139.0ms (2%)

Memory
23.3MiB live, 213.1MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
1123153
2327153
31154153
42765153
55117153
08046135
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(* 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 (*.f64 x x) #s(literal -1/24 binary64) #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 (*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #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 (*.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 x x) (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)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite136.0ms (1.9%)

Memory
1.6MiB live, 93.5MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14517
232117
0333317
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 132
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 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 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 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 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.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 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval25.0ms (0.4%)

Memory
-22.9MiB live, 23.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 901 to 540 computations (81.4% saved)

prune45.0ms (0.6%)

Memory
36.4MiB live, 62.4MiB allocated; 15ms collecting garbage
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New12424148
Fresh000
Picked011
Done000
Total12425149
Accuracy
100.0%
Counts
149 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
77.7%
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
25.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
49.7%
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
18.2%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
49.6%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
14.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
18.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
14.2%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
18.8%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
38.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
48.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
2.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)))) (*.f64 x x))
26.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
77.7%
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
77.8%
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
50.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
49.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
78.3%
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
52.2%
#s(approx (/ (- 1 (cos x)) (* 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)))
51.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 806 to 498 computations (38.2% saved)

simplify543.0ms (7.7%)

Memory
-55.0MiB live, 187.6MiB allocated; 1.1s collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff1
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
cost-diff3
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
cost-diff0
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
cost-diff0
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff1
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff2
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036218
061215
1116215
2310208
31157208
43877207
56699207
08760205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/40320 binary64)
(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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (cos.f64 x) x x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) x)
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/40320 binary64)
(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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize341.0ms (4.9%)

Memory
13.2MiB live, 257.0MiB allocated; 60ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.10384750976844201
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
accuracy0.248378759768442
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy0.2966651564476176
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy13.692735387144731
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
accuracy0.00390625
(cos.f64 x)
accuracy13.735702196201883
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy15.382667355994364
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy17.760436162203955
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.18359375
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
accuracy0.1953125
(*.f64 #s(literal 1/720 binary64) x)
accuracy15.995387493298885
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
accuracy30.814292007130796
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
accuracy30.474439605452524
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0.14453125
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy0.18359375
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy0.2966651564476176
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy13.248476226564474
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
Samples
130.0ms68×2valid
66.0ms128×0valid
59.0ms18×3valid
59.0ms42×1valid
Compiler

Compiled 209 to 37 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-mult: 76.0ms (39.8% of total)
const: 36.0ms (18.8% of total)
ival-cos: 20.0ms (10.5% of total)
adjust: 19.0ms (9.9% of total)
ival-div: 11.0ms (5.8% of total)
ival-add: 8.0ms (4.2% of total)
ival-sin: 7.0ms (3.7% of total)
ival-pow2: 4.0ms (2.1% of total)
ival-pow: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1% of total)
ival-sqrt: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-23.1MiB live, 20.7MiB allocated; 16ms collecting garbage
Counts
19 → 70
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 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)))
(pow x 2)
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/720 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(- 1 (cos x))
(cos x)
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(+ 1 (cos x))
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@0
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x))
5.0ms
x
@inf
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x))
4.0ms
x
@-inf
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (/ (- 1 (cos x)) (sqrt (pow x 4))) (- 1 (cos x)) (cos x) (sqrt (pow x 4)) (/ (neg (pow (sin x) 2)) (* (+ (cos x) 1) (* (neg x) x))) (* (+ (cos x) 1) (* (neg x) x)) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (cos x) 1) (* 1/720 x))

simplify149.0ms (2.1%)

Memory
31.1MiB live, 119.2MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177754
1509754
21504737
34179736
08141694
Stop Event
iter limit
node limit
Counts
70 → 69
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* 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)))
(pow x 2)
(* -2 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/720 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(- 1 (cos x))
(cos x)
(* -1 (* (pow x 2) (+ 1 (cos x))))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(+ 1 (cos x))
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) 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 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x)
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(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)))
(* 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 (*.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 (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 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/315 binary64) (*.f64 x x)) #s(literal 2/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/40320 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 2) (+ 1 (cos x))))
(*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x))
(* -1 (pow (sin x) 2))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64)))

rewrite224.0ms (3.2%)

Memory
-23.4MiB live, 167.5MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036167
061167
1197152
21293149
08122149
Stop Event
iter limit
node limit
iter limit
Counts
19 → 751
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
Outputs
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(*.f64 (/.f64 x (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x)) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (cos.f64 x)))
(fma.f64 x (cos.f64 x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 x) x))
(+.f64 (*.f64 (cos.f64 x) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (cos.f64 x)))
(+.f64 (*.f64 x (cos.f64 x)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
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(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 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))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))

eval118.0ms (1.7%)

Memory
22.1MiB live, 165.0MiB allocated; 28ms collecting garbage
Compiler

Compiled 21 473 to 2 853 computations (86.7% saved)

prune83.0ms (1.2%)

Memory
-56.6MiB live, 61.2MiB allocated; 28ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New7149723
Fresh11819
Picked325
Done011
Total72820748
Accuracy
100.0%
Counts
748 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
18.2%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
14.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
14.2%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
18.8%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
38.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
26.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
77.8%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
50.5%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
49.5%
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
78.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
53.1%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
51.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
52.2%
#s(approx (/ (- 1 (cos x)) (* 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)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
99.7%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
Compiler

Compiled 619 to 394 computations (36.3% saved)

simplify125.0ms (1.8%)

Memory
23.0MiB live, 152.1MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (cos.f64 x))
cost-diff0
(*.f64 x x)
cost-diff2
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
cost-diff4
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff1
(*.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff4
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff4
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
cost-diff5
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
cost-diff0
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
cost-diff0
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
cost-diff0
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052290
078294
1158268
2525253
32577249
46309249
08324241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
x
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
x
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (cos.f64 x))
(cos.f64 x)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
(*.f64 #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)) x)
x
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
#s(literal -1 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x)
(*.f64 x x)
x
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize291.0ms (4.1%)

Memory
13.5MiB live, 489.5MiB allocated; 96ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 x)
accuracy0.12337875976844202
(*.f64 (*.f64 x x) (cos.f64 x))
accuracy13.598259398345537
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
accuracy44.63638594403252
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
accuracy0.12337875976844202
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
accuracy0.15853500976844204
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy14.715401486610073
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
accuracy44.63638594403252
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.00390625
(sin.f64 x)
accuracy0.18359375
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy29.95343263364684
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy0.0234375
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
accuracy0.18359375
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
accuracy30.61548193718063
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
accuracy30.814292007130796
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
accuracy0.00390625
(sin.f64 x)
accuracy0.06640625
(/.f64 (/.f64 (sin.f64 x) x) x)
accuracy0.12890625
(/.f64 (sin.f64 x) x)
accuracy0.17578125
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
Samples
92.0ms67×2valid
66.0ms128×0valid
45.0ms20×3valid
32.0ms41×1valid
Compiler

Compiled 246 to 46 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
adjust: 66.0ms (31.9% of total)
ival-mult: 47.0ms (22.7% of total)
ival-cos: 23.0ms (11.1% of total)
ival-div: 17.0ms (8.2% of total)
const: 16.0ms (7.7% of total)
ival-pow: 9.0ms (4.4% of total)
ival-add: 8.0ms (3.9% of total)
ival-sub: 6.0ms (2.9% of total)
ival-sin: 6.0ms (2.9% of total)
ival-tan: 5.0ms (2.4% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-11.6MiB live, 31.3MiB allocated; 25ms collecting garbage
Counts
24 → 76
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 x x)
(*.f64 (*.f64 x x) (cos.f64 x))
(/.f64 (sin.f64 x) x)
(/.f64 (/.f64 (sin.f64 x) x) x)
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(cos.f64 x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 4))
(* -1 (pow x 2))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (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)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(/ (sin x) x)
(/ (sin x) (pow x 2))
(* -1 (* (pow x 2) (cos x)))
(cos x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x))
8.0ms
x
@inf
((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x))
3.0ms
x
@0
((* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (* (tan (/ x 2)) (/ (/ (sin x) x) x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) x) 1/2) (* x (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24))) (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (/ (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* -1 (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* x x) (* (* x x) (cos x)) (/ (sin x) x) (/ (/ (sin x) x) x) (* (* (neg x) x) (cos x)) (cos x))

simplify142.0ms (2%)

Memory
13.7MiB live, 124.0MiB allocated; 71ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169844
1499843
21479825
34468824
08233778
Stop Event
iter limit
node limit
Counts
76 → 75
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 4))
(* -1 (pow x 2))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (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)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 5))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (cos x))
(/ (sin x) x)
(/ (sin x) (pow x 2))
(* -1 (* (pow x 2) (cos x)))
(cos x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 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)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x)
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/2 (pow x 4))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* 1/2 (pow x 4))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (*.f64 x x))
(+ 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 (*.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 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/720 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* -1/40320 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/40320 (pow x 4))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(*.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(sin x)
(sin.f64 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (cos x)))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(* -1 (* (pow x 2) (cos x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64))) (pow.f64 x #s(literal 5 binary64)))

rewrite238.0ms (3.4%)

Memory
-1.5MiB live, 277.1MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052263
078249
1277215
22000212
08881204
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 888
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64)))
#s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 x x)
(*.f64 (*.f64 x x) (cos.f64 x))
(/.f64 (sin.f64 x) x)
(/.f64 (/.f64 (sin.f64 x) x) x)
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(cos.f64 x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
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(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (cos.f64 x) (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (cos.f64 x) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (*.f64 (cos.f64 x) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 x (*.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 x (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 x x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (fma.f64 (cos.f64 x) x x) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (fma.f64 (cos.f64 x) x x) x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (fma.f64 (cos.f64 x) x x) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (fma.f64 (cos.f64 x) x x) x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) x)))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.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 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 x (*.f64 (cos.f64 x) x))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x)
(*.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) 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 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))

eval130.0ms (1.8%)

Memory
-4.0MiB live, 177.7MiB allocated; 40ms collecting garbage
Compiler

Compiled 32 109 to 3 098 computations (90.4% saved)

prune51.0ms (0.7%)

Memory
36.0MiB live, 82.8MiB allocated; 4ms collecting garbage
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New95713970
Fresh21012
Picked145
Done123
Total96129990
Accuracy
100.0%
Counts
990 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
14.3%
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
25.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
2.0%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
18.8%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
14.2%
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
77.8%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
14.2%
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
14.3%
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
50.5%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
78.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
53.1%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
51.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
52.2%
#s(approx (/ (- 1 (cos x)) (* 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)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
25.3%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x))))
49.2%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
49.5%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
25.3%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x))
25.3%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)))
14.2%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64))))
49.5%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
99.7%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
Compiler

Compiled 1 147 to 678 computations (40.9% saved)

simplify85.0ms (1.2%)

Memory
-11.0MiB live, 90.6MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 (*.f64 (neg.f64 x) x) x)
cost-diff2
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
cost-diff3
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff4
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff0
(*.f64 (cos.f64 x) x)
cost-diff2
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
cost-diff4
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff5
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff0
(neg.f64 (cos.f64 x))
cost-diff0
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff0
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
cost-diff5
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
(sin.f64 x)
cost-diff1
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff2
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
cost-diff2
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038256
067240
1159234
2593197
33140191
47081191
08092191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(sin.f64 x)
x
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (sin.f64 x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.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))
(*.f64 x x)
x
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) x)
(sin.f64 x)
x
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (sin.f64 x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(-.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))
(*.f64 x x)
x
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
#s(literal -1 binary64)
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

localize267.0ms (3.8%)

Memory
7.7MiB live, 345.1MiB allocated; 97ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(/.f64 (cos.f64 x) x)
accuracy12.011142659261338
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
accuracy23.867087185494544
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy27.585033830897412
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy0.11328125
(*.f64 (cos.f64 x) x)
accuracy0.15853500976844204
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy17.006568896597
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
accuracy44.63638594403252
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.00390625
(cos.f64 x)
accuracy0.6156510116853875
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy0.645395165474731
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy31.319559976286136
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy13.735702196201883
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy17.760436162203955
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy28.567948905379044
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.12890625
(/.f64 (sin.f64 x) (neg.f64 x))
accuracy0.14453125
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy0.1796875
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
accuracy0.2966651564476176
(+.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
82.0ms67×2valid
81.0ms128×0valid
51.0ms20×3valid
23.0ms41×1valid
Compiler

Compiled 240 to 37 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 50.0ms (26.5% of total)
ival-div: 46.0ms (24.3% of total)
adjust: 37.0ms (19.6% of total)
ival-cos: 33.0ms (17.5% of total)
ival-sub: 6.0ms (3.2% of total)
ival-add: 6.0ms (3.2% of total)
ival-sin: 6.0ms (3.2% of total)
ival-neg: 3.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-19.9MiB live, 25.4MiB allocated; 17ms collecting garbage
Counts
25 → 80
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(cos.f64 x)
(/.f64 (cos.f64 x) x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)
(* -2 x)
(* x (- (* 1/2 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 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)))
(pow x 2)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (pow x 4))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (* 1/6 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(* -1 (/ (sin x) (* x (+ 1 (cos x)))))
(* -1 (* x (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* x (cos x))
(* -1 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(+ 1 (cos x))
(* -1 (/ (sin x) x))
(/ (cos x) x)
(* -1 (* x (- 1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@0
((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x))
5.0ms
x
@inf
((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x))
5.0ms
x
@-inf
((* (/ (sin x) (* (neg x) (+ 1 (cos x)))) (/ (sin x) (neg x))) (/ (sin x) (* (neg x) (+ 1 (cos x)))) (* (neg x) (+ 1 (cos x))) (sin x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (- (/ (neg (cos x)) (* x x)) (/ -1 (* x x))) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (neg (cos x)) (* x x)) (neg (cos x)) (/ (+ (* (* (cos x) x) x) (* (neg x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (* (cos x) x) x) (* (neg x) x)) (* (cos x) x) (* (* (neg x) x) (/ (cos x) x)) (/ (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x) (+ 1 (cos x)) (/ (sin x) (neg x)) (/ -1 (* x x)) (cos x) (/ (cos x) x))

simplify133.0ms (1.9%)

Memory
16.6MiB live, 157.5MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167827
1436813
21202794
35052793
08226751
Stop Event
iter limit
node limit
Counts
80 → 79
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)
(* -2 x)
(* x (- (* 1/2 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 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)))
(pow x 2)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (pow x 4))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (* 1/6 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(* -1 (/ (sin x) (* x (+ 1 (cos x)))))
(* -1 (* x (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(* x (cos x))
(* -1 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(+ 1 (cos x))
(* -1 (/ (sin x) x))
(/ (cos x) x)
(* -1 (* x (- 1 (cos x))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(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))
-1/2
#s(literal -1/2 binary64)
(- (* -1/24 (pow x 2)) 1/2)
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 1/2 (pow x 2)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 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 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (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 (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 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(* (pow x 4) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 4) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(- (* 1/6 (pow x 2)) 1)
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(* -1 (/ (sin x) (* x (+ 1 (cos x)))))
(/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) x)
(* -1 (* x (+ 1 (cos x))))
(*.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(* (pow x 2) (- (cos x) 1))
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (/ (sin x) x))
(/.f64 (sin.f64 x) (neg.f64 x))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)

rewrite145.0ms (2.1%)

Memory
-16.4MiB live, 173.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038218
067187
1264164
22079148
010656145
Stop Event
iter limit
node limit
iter limit
Counts
25 → 912
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x))
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(cos.f64 x)
(/.f64 (cos.f64 x) x)
Outputs
(*.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x))) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 x) x x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(*.f64 (fma.f64 (cos.f64 x) x x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) x x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 x) x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(neg.f64 (fma.f64 (cos.f64 x) x x))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (*.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 x) x))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) x x)
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 x) x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 x (cos.f64 x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(-.f64 (*.f64 (cos.f64 x) x) x)
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 x (*.f64 (cos.f64 x) x))
(+.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 x (*.f64 (cos.f64 x) x))
(neg.f64 (sin.f64 x))
(fma.f64 #s(literal 0 binary64) (cos.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (PI.f64) x))
(sin.f64 x)
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos 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) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(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 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 x) x x) x))
(*.f64 x (/.f64 (fma.f64 (cos.f64 x) x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 (*.f64 x x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x x) x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) x) (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))
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(-.f64 x (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)
(+.f64 x (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #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 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) x))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) x)
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 x)) x)
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (cos.f64 x) x))

eval86.0ms (1.2%)

Memory
32.1MiB live, 163.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 20 500 to 2 577 computations (87.4% saved)

prune93.0ms (1.3%)

Memory
-26.4MiB live, 84.4MiB allocated; 16ms collecting garbage
Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New7519760
Fresh61218
Picked235
Done066
Total75930789
Accuracy
100.0%
Counts
789 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
99.6%
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
25.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.2%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
14.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
2.0%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
3.1%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
2.8%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
42.3%
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
77.8%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
14.3%
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
42.3%
(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
78.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
53.1%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
53.2%
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)))
51.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
51.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
52.2%
#s(approx (/ (- 1 (cos x)) (* 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)))
52.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
25.3%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x))))
49.2%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
49.5%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
14.2%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64))))
49.5%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
49.6%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
49.6%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
99.7%
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
Compiler

Compiled 1 818 to 674 computations (62.9% saved)

regimes29.0ms (0.4%)

Memory
5.5MiB live, 50.7MiB allocated; 3ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
Outputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
Calls

2 calls:

14.0ms
x
12.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.4%)

Memory
-1.9MiB live, 43.2MiB allocated; 4ms collecting garbage
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* -1 x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(approx (- (* -1 (* x x)) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (cos.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 x x))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

12.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
11.0ms
x
Results
AccuracySegmentsBranch
98.9%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.5%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
76.2%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
98.7%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (neg x) (+ 1 (cos x)))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
76.7%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-46.9MiB live, 4.6MiB allocated; 6ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
76.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(approx (+ (* (pow x 4) -1/40320) (+ (* (* 1/720 x) x) -1/24)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.4%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch14.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
0.020684802134636856
4599.360785786617
Samples
7.0ms128×0valid
Compiler

Compiled 307 to 218 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (47.7% of total)
ival-sub: 1.0ms (23.8% of total)
ival-div: 1.0ms (23.8% of total)
ival-mult: 1.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
0.020684802134636856
4599.360785786617
Samples
1.0ms16×0valid
Compiler

Compiled 344 to 244 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory
-12.6MiB live, 33.6MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5.744282605241779e+35
1.134123358325496e+40
Samples
11.0ms128×0valid
Compiler

Compiled 251 to 194 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (57.8% of total)
ival-mult: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.6% of total)
ival-div: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.020684802134636856
4599.360785786617
Samples
8.0ms112×0valid
Compiler

Compiled 236 to 190 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (69.7% of total)
ival-sub: 1.0ms (17.4% of total)
ival-div: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify78.0ms (1.1%)

Memory
-12.8MiB live, 76.0MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057181
187181
2165178
3403178
41162178
52833178
64268178
77604178
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 600000000000000024271790803693365886976 binary64)) #s(approx (/ (- 1 (cos x)) (* 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
#s(approx (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 600000000000000024271790803693365886976 binary64)) #s(approx (/ (- 1 (cos x)) (* 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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

derivations655.0ms (9.3%)

Memory
18.5MiB live, 448.6MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
1123153
2327153
31154153
42765153
55117153
08046135
036167
061167
1197152
21293149
08122149
0177754
1509754
21504737
34179736
08141694
0617
01017
14517
232117
0333317
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 181 to 58 computations (68% saved)

preprocess40.0ms (0.6%)

Memory
12.4MiB live, 56.0MiB allocated; 7ms collecting garbage
Remove

(abs x)

Compiler

Compiled 430 to 162 computations (62.3% saved)

end0.0ms (0%)

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

Profiling

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