cos2 (problem 3.4.1)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
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)

sample2.4s (28.2%)

Memory
55.3MiB live, 1 645.9MiB allocated
Samples
1.0s2 196×2valid
363.0ms4 243×0valid
284.0ms581×3valid
249.0ms1 236×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 953.0ms (58% of total)
ival-div: 245.0ms (14.9% of total)
ival-mult: 177.0ms (10.8% of total)
ival-sub: 156.0ms (9.5% of total)
adjust: 97.0ms (5.9% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain136.0ms (1.6%)

Memory
-32.9MiB live, 203.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
713(-1.915690555007037e+76)1(2.443102964155315e+56)(-.f64 #s(literal 1 binary64) (cos.f64 x))
680-1(-1.9695603910690047e-158)(/.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))cancellation736
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u670
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow67
(*.f64 x x)underflow67
Confusion
Predicted +Predicted -
+1321
-8115
Precision
0.9428571428571428
Recall
0.9924812030075187
Confusion?
Predicted +Predicted MaybePredicted -
+13210
-85110
Precision?
0.910958904109589
Recall?
1.0
Freqs
test
numberfreq
0116
1140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms148×2valid
21.0ms256×0valid
10.0ms88×1valid
8.0ms20×3valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-cos: 40.0ms (64.9% of total)
ival-div: 6.0ms (9.7% of total)
adjust: 6.0ms (9.7% of total)
ival-sub: 5.0ms (8.1% of total)
ival-mult: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess82.0ms (1%)

Memory
-18.7MiB live, 47.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
13217
210216
330016
477216
5121216
6132116
7133716
068
0108
1198
2308
3468
4828
51318
61888
73248
86298
910478
1011798
011798
Stop Event
iter limit
saturated
iter limit
saturated
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
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify22.0ms (0.3%)

Memory
17.4MiB live, 17.4MiB allocated
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
11919
23019
34619
48219
513119
618819
732419
862919
9104719
10117919
0117919
Stop Event
iter limit
saturated
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)

localize61.0ms (0.7%)

Memory
5.2MiB live, 41.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(cos.f64 x)
accuracy14.854075664908672
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.43326179578562
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
24.0ms74×2valid
22.0ms128×0valid
5.0ms44×1valid
4.0ms10×3valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 32.0ms (76.3% of total)
ival-div: 3.0ms (7.2% of total)
adjust: 3.0ms (7.2% of total)
ival-mult: 2.0ms (4.8% of total)
ival-sub: 2.0ms (4.8% 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
3.6MiB live, 3.6MiB allocated
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))

simplify236.0ms (2.8%)

Memory
5.5MiB live, 162.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
1105153
2258153
3601153
41281153
51981153
62536153
73409153
84960153
96581153
107480153
117690153
127708153
137710153
08119135
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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(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)

rewrite172.0ms (2%)

Memory
-20.4MiB live, 257.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14017
227017
3284317
0991517
Stop Event
iter limit
node limit
iter limit
Counts
4 → 629
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 (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)))
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eval142.0ms (1.7%)

Memory
24.0MiB live, 98.3MiB allocated
Compiler

Compiled 13 688 to 1 661 computations (87.9% saved)

prune20.0ms (0.2%)

Memory
6.8MiB live, 44.0MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New62916645
Fresh000
Picked011
Done000
Total62917646
Accuracy
100.0%
Counts
646 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
15.2%
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
21.3%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
15.2%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
73.4%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
51.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
50.4%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
15.4%
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
74.2%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
15.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
51.2%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 454 to 270 computations (40.5% saved)

simplify93.0ms (1.1%)

Memory
-24.4MiB live, 59.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 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-diff0
(*.f64 (neg.f64 x) x)
cost-diff4
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff4
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
cost-diff5
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff0
(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff2
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 x x))
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031172
051161
1101152
2289147
32086143
44230141
56918141
08096141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 x x)
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.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
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
#s(literal -1 binary64)
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(*.f64 x x)
x
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (neg.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 (neg.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 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (*.f64 (cos.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 x x)
(*.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)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(cos.f64 x)
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)

localize144.0ms (1.7%)

Memory
10.0MiB live, 163.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.1015625
(*.f64 (*.f64 x x) (cos.f64 x))
accuracy15.069855620078597
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
accuracy44.50309156286145
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
accuracy0.1015625
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
accuracy0.12728500976844204
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy16.64401038081499
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
accuracy44.39710740642332
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.0
(cos.f64 x)
accuracy0.0703125
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy14.854075664908672
(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy16.820118298536695
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy30.50270561696159
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0.0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.00390625
(sin.f64 x)
accuracy0.18359375
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy15.897336027654049
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
56.0ms74×2valid
37.0ms128×0valid
17.0ms44×1valid
10.0ms10×3valid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 24.0ms (26% of total)
ival-cos: 21.0ms (22.7% of total)
ival-div: 13.0ms (14.1% of total)
adjust: 10.0ms (10.8% of total)
ival-sub: 8.0ms (8.7% of total)
ival-sin: 6.0ms (6.5% of total)
ival-tan: 5.0ms (5.4% of total)
ival-pow: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-12.4MiB live, 24.5MiB allocated
Counts
18 → 59
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.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 (*.f64 x x) (cos.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) 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 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)
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))))
(pow x 2)
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -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) (+ 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))))
(* 1/2 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
(+ 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) (- (* 1/2 (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))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (+ 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 (* 1/2 x)) (cos (* 1/2 x)))
(cos x)
(* -1 (* (pow x 2) (cos x)))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x)))
6.0ms
x
@inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x)))
3.0ms
x
@0
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x))) (- (* (neg x) x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (* x x)) (* (neg x) x) (* (- (* x x) (* (* x x) (cos x))) (pow x -4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (tan (/ x 2)) (cos x) (* (* (neg x) x) (cos x)))

simplify188.0ms (2.2%)

Memory
49.1MiB live, 197.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145644
1387644
21013625
33389625
44824625
57683625
08121562
Stop Event
iter limit
node limit
Counts
59 → 58
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 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)
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))))
(pow x 2)
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -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) (+ 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))))
(* 1/2 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
(+ 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) (- (* 1/2 (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))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) (pow x 2))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (pow x 2) (- (cos x) 1))
(- (cos x) 1)
(/ (+ 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 (* 1/2 x)) (cos (* 1/2 x)))
(cos x)
(* -1 (* (pow x 2) (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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ 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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3024 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* -1/2 (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)) (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 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 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* -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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* 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
#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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 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 x) (pow x 2))
(/.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 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- (cos x) 1))
(*.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/ (+ 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 (cos.f64 x) #s(literal 1 binary64)) 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 (* 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)))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 2) (cos x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))

rewrite90.0ms (1.1%)

Memory
-10.0MiB live, 75.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031142
051142
1196120
01422120
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
18 → 309
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.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 (*.f64 x x) (cos.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sin.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(sin.f64 x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
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eval41.0ms (0.5%)

Memory
1.8MiB live, 74.2MiB allocated
Compiler

Compiled 8 480 to 1 209 computations (85.7% saved)

prune34.0ms (0.4%)

Memory
-28.4MiB live, 59.2MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New42217439
Fresh4711
Picked235
Done011
Total42828456
Accuracy
100.0%
Counts
456 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.4%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.5%
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
27.6%
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
27.7%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.6%
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
51.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
15.2%
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
15.1%
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
73.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
73.5%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
15.1%
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
51.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
50.4%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
50.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
77.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
15.3%
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
15.7%
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
15.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
74.2%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
51.2%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 724 to 452 computations (37.6% saved)

simplify86.0ms (1%)

Memory
22.8MiB live, 96.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
034194
058184
1106181
2220173
3639169
42032167
54907167
66585167
77604167
08038167
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) 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)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
#s(literal 1 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
(neg.f64 x)
x
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
x
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) 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 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
#s(literal 1 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(neg.f64 x)
x
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
x
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)

localize253.0ms (3%)

Memory
11.4MiB live, 204.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
accuracy0.12109375
(*.f64 (cos.f64 x) x)
accuracy21.96799873491913
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
accuracy44.50309156286145
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
accuracy0.12109375
(*.f64 (cos.f64 x) x)
accuracy0.12728500976844204
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy21.96799873491913
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
accuracy44.39710740642332
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.0703125
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
accuracy0.08203125
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
accuracy14.854075664908672
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.909907358772044
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy31.252219961311066
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy0.00390625
(sin.f64 x)
accuracy0.1015625
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
accuracy0.10546875
(/.f64 (sin.f64 x) x)
accuracy0.1328125
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
Samples
152.0ms74×2valid
44.0ms128×0valid
19.0ms44×1valid
11.0ms10×3valid
Compiler

Compiled 194 to 33 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-add: 95.0ms (47.7% of total)
ival-mult: 24.0ms (12% of total)
ival-cos: 23.0ms (11.5% of total)
adjust: 19.0ms (9.5% of total)
ival-div: 15.0ms (7.5% of total)
ival-sin: 6.0ms (3% of total)
ival-tan: 5.0ms (2.5% of total)
const: 4.0ms (2% of total)
ival-sub: 3.0ms (1.5% of total)
ival-pow: 3.0ms (1.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-23.9MiB live, 18.1MiB allocated
Counts
19 → 61
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
(neg.f64 x)
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.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
(+ 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)))
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 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(pow x 2)
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 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 (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))
(* -1 x)
(* 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))))
(* -1 (pow x 2))
(* (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))
(* 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))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow x 2) (- 1 (cos x)))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (cos x)))
(* x (cos x))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x))
4.0ms
x
@inf
((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x))
2.0ms
x
@0
((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) (/ 1 (/ x (/ (- 1 (cos x)) x))) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (+ (* (neg x) x) (* (* (cos x) x) x)) (* (* (neg x) x) (* x x))) (* (* (neg x) x) (* x x)) (+ (* (neg x) x) (* (* (cos x) x) x)) (neg x) (* (+ (* x x) (* (* (cos x) x) (neg x))) (pow x -4)) (+ (* x x) (* (* (cos x) x) (neg x))) (* (* (cos x) x) (neg x)) (* (cos x) x))

simplify637.0ms (7.5%)

Memory
44.1MiB live, 275.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146644
1420644
21010626
33173626
44485626
56437626
08230562
Stop Event
iter limit
node limit
Counts
61 → 60
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
(+ 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)))
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 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(pow x 2)
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 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 (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))
(* -1 x)
(* 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))))
(* -1 (pow x 2))
(* (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))
(* 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))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin x) x)
(sin x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (pow x 2) (- 1 (cos x)))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* (pow x 2) (- (cos x) 1))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* -1 (* (pow x 2) (cos x)))
(* 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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(+ 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) (+ 1/24 (* 1/240 (pow x 2)))))
(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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(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))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/24 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(* 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)) (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) 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 x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(/ (pow x 2) (- 1 (cos x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* (pow x 2) (- (cos x) 1))
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* (pow x 2) (cos x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(* x (cos x))
(*.f64 (cos.f64 x) x)

rewrite257.0ms (3%)

Memory
4.6MiB live, 234.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034149
058134
1210122
21433122
08812122
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 815
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x))
(neg.f64 x)
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (cos.f64 x) x)
Outputs
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))))
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(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 x (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (neg.f64 x) x))
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))))))
(fma.f64 x (*.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x x))
(fma.f64 x (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(-.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(-.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (cos.f64 x)))))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x)
(*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))
(*.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))

eval158.0ms (1.9%)

Memory
2.7MiB live, 237.2MiB allocated
Compiler

Compiled 25 616 to 3 512 computations (86.3% saved)

prune51.0ms (0.6%)

Memory
-6.7MiB live, 119.3MiB allocated
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New1 20891 217
Fresh51419
Picked145
Done044
Total1 214311 245
Accuracy
100.0%
Counts
1 245 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.5%
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.4%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.5%
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
27.7%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.6%
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
51.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
15.1%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.2%
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
73.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
15.1%
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
99.8%
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
51.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
77.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
50.4%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
50.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
15.7%
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
15.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
50.3%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
44.3%
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64)))
74.2%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
51.2%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 759 to 482 computations (36.5% saved)

simplify96.0ms (1.1%)

Memory
-5.3MiB live, 104.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
cost-diff2
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
cost-diff8
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
cost-diff0
(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff0
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
cost-diff0
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
cost-diff8
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
cost-diff4
(*.f64 x (/.f64 (cos.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
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028204
051178
1111166
2260154
3694154
41871154
54395154
08054154
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(sin.f64 x)
x
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.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
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
x
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
(-.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)
Outputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
x
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.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
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
(cos.f64 x)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
x
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(*.f64 x x)
x
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(cos.f64 x)

localize256.0ms (3%)

Memory
-26.4MiB live, 272.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 (*.f64 x x) (cos.f64 x))
accuracy15.069855620078597
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
accuracy16.43326179578562
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
accuracy36.28728903789424
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
accuracy0.12109375
(*.f64 (cos.f64 x) x)
accuracy11.914099994978429
(-.f64 x (*.f64 (cos.f64 x) x))
accuracy16.43326179578562
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
accuracy36.28728903789424
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
accuracy0.109375
(/.f64 (cos.f64 x) x)
accuracy0.26171875
(*.f64 x (/.f64 (cos.f64 x) x))
accuracy14.854075664908672
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
accuracy16.43326179578562
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy14.854075664908672
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy16.43326179578562
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy27.99956484103181
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.00390625
(sin.f64 x)
accuracy0.05859375
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
accuracy0.0859375
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
accuracy0.13671875
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Samples
78.0ms74×2valid
59.0ms128×0valid
48.0ms44×1valid
13.0ms10×3valid
Compiler

Compiled 200 to 28 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 71.0ms (41.1% of total)
ival-cos: 35.0ms (20.3% of total)
ival-sub: 25.0ms (14.5% of total)
ival-div: 21.0ms (12.2% of total)
adjust: 9.0ms (5.2% of total)
ival-sin: 6.0ms (3.5% of total)
ival-tan: 5.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
21 → 59
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(sin.f64 x)
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 x (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (cos.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 x 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)))
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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 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 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)
(* 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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 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))))
(* (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))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (cos x) x)
(* (pow x 2) (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (cos x))
(* (pow x 2) (cos x))
(+ 1 (* -1 (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x)))
4.0ms
x
@inf
((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x)))
2.0ms
x
@0
((/ (sin x) (* (/ x (tan (* 1/2 x))) x)) (sin x) (* (/ x (tan (* 1/2 x))) x) (/ x (tan (* 1/2 x))) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (* x (- x (* (cos x) x))) (* x x)) (/ (/ (* x (- x (* (cos x) x))) (* x x)) (* x x)) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (* (cos x) x) (* (* x x) (cos x)))

simplify232.0ms (2.8%)

Memory
-1.3MiB live, 151.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122639
1351621
2820621
32577621
45085621
55405621
65916621
76800621
08043555
Stop Event
iter limit
node limit
Counts
59 → 58
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)))
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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 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 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)
(* 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))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 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))))
(* (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))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (cos x) x)
(* (pow x 2) (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (cos x))
(* (pow x 2) (cos x))
(+ 1 (* -1 (cos x)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -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 (fma.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 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/6 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 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)) (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(/ (* (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 x)
(sin.f64 x)
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (sin.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 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (+ 1 (* -1 (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)

rewrite414.0ms (4.9%)

Memory
-2.0MiB live, 194.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028174
051152
1209138
21513124
08748124
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 716
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(sin.f64 x)
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 x (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (cos.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(*.f64 (cos.f64 x) x)
(*.f64 (*.f64 x x) (cos.f64 x))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) x)
(/.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 x (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 x (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) x) (/.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)) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (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 (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 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 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) (pow.f64 x #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(literal 1 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 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #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)) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (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 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 (*.f64 x (fma.f64 (cos.f64 x) x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 x) x x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (*.f64 x (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1 binary64)))
(*.f64 (cos.f64 x) x)
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(*.f64 x (cos.f64 x))
(/.f64 x (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 x (*.f64 (cos.f64 x) x))
(/.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))

eval224.0ms (2.7%)

Memory
10.1MiB live, 164.0MiB allocated
Compiler

Compiled 23 495 to 3 082 computations (86.9% saved)

prune83.0ms (1%)

Memory
10.6MiB live, 103.7MiB allocated
Pruning

36 alts after pruning (25 fresh and 11 done)

PrunedKeptTotal
New1 045101 055
Fresh31518
Picked145
Done178
Total1 050361 086
Accuracy
100.0%
Counts
1 086 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
51.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
15.4%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) x (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.5%
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
27.6%
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
27.7%
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
27.7%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.6%
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
51.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
15.1%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
15.2%
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
28.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) (*.f64 x x))
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
24.8%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
73.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
50.4%
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
15.1%
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
99.8%
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
15.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
51.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
77.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
50.4%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
50.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
15.7%
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
50.3%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
15.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
74.2%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
51.2%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 294 to 511 computations (60.5% saved)

regimes129.0ms (1.5%)

Memory
-26.9MiB live, 47.1MiB allocated
Counts
53 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
Outputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
Calls

2 calls:

30.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
14.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.4%)

Memory
24.3MiB live, 67.9MiB allocated
Counts
50 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
Calls

2 calls:

18.0ms
x
11.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes54.0ms (0.6%)

Memory
1.8MiB live, 40.1MiB allocated
Counts
48 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
Calls

2 calls:

40.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
12.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
99.6%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes46.0ms (0.5%)

Memory
-16.0MiB live, 57.1MiB allocated
Counts
46 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cos.f64 x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 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 (neg.f64 x) x (*.f64 (*.f64 (cos.f64 x) 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 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) x) x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

30.0ms
x
13.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.5%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.5%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
7 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (cos.f64 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) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
5 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (/ (- 1 (cos x)) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
77.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
77.4%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
3 → 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)))
(/.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)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.3%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
74.7%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Accuracy

Total -0.9b remaining (-2.8%)

Threshold costs -0.9b (-2.8%)

Counts
2 → 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)))
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
52.3%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.3%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.1%)

Memory
-34.5MiB live, 12.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
2.8076499558694395e-8
2.3586477717722464e-7
Samples
9.0ms48×1valid
Compiler

Compiled 89 to 73 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 6.0ms (74.6% of total)
adjust: 1.0ms (12.4% of total)
ival-div: 1.0ms (12.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 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 (0.2%)

Memory
-5.5MiB live, 31.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00013665539327142818
1919.3485522057908
Samples
7.0ms144×0valid
Compiler

Compiled 218 to 181 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.1% of total)
ival-div: 1.0ms (24.1% of total)
ival-cos: 1.0ms (24.1% of total)
ival-mult: 1.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00013665539327142818
1919.3485522057908
Compiler

Compiled 218 to 181 computations (17% saved)

bsearch12.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
4.305649852666807e+75
1.915690555007037e+76
Samples
7.0ms96×0valid
Compiler

Compiled 131 to 112 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (57.4% of total)
ival-sub: 1.0ms (19.1% of total)
ival-mult: 1.0ms (19.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (0.8%)

Memory
-0.8MiB live, 75.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049157
166157
286157
3116157
4176157
5299157
6604157
71918157
85447157
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 binary64)) #s(approx (/ (- 1 (cos x)) (* x 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)) #s(literal 1/2 binary64))
Outputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 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) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (* x x) (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 19000000000000001215530164274001977302355661143179118956570146872865241169920 binary64)) #s(approx (/ (- 1 (cos x)) (* x 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)) #s(literal 1/2 binary64))

soundness1.3s (15.4%)

Memory
6.8MiB live, 651.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14017
227017
3284317
0991517
031142
051142
1196120
01422120
0145644
1387644
21013625
33389625
44824625
57683625
08121562
034149
058134
1210122
21433122
08812122
042153
1105153
2258153
3601153
41281153
51981153
62536153
73409153
84960153
96581153
107480153
117690153
127708153
137710153
08119135
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 370 to 175 computations (52.7% saved)

preprocess116.0ms (1.4%)

Memory
-17.6MiB live, 137.9MiB allocated
Remove

(abs x)

Compiler

Compiled 352 to 128 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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