cos2 (problem 3.4.1)

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample1.8s (20.5%)

Memory
28.6MiB live, 1 631.8MiB allocated
Samples
662.0ms2 243×2valid
370.0ms4 248×0valid
224.0ms549×3valid
194.0ms1 216×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 777.0ms (64.5% of total)
adjust: 137.0ms (11.4% of total)
ival-div: 127.0ms (10.5% of total)
ival-sub: 91.0ms (7.5% of total)
ival-mult: 59.0ms (4.9% of total)
ival-true: 7.0ms (0.6% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain488.0ms (5.6%)

Memory
30.8MiB live, 144.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
783(-3.3228249931729526e+283)1(-3.5604833822025284e+223)(-.f64 #s(literal 1 binary64) (cos.f64 x))
520-1(2.0547647347650522e-157)(/.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))cancellation804
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u480
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow48
(*.f64 x x)underflow48
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o30
(*.f64 x x)overflow66
Confusion
Predicted +Predicted -
+1250
-6125
Precision
0.9541984732824428
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-64121
Precision?
0.9259259259259259
Recall?
1.0
Freqs
test
numberfreq
0125
1131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
127.0ms38×3valid
30.0ms118×2valid
22.0ms274×0valid
9.0ms82×1valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-cos: 36.0ms (62.5% of total)
ival-div: 6.0ms (10.4% of total)
adjust: 5.0ms (8.7% of total)
ival-sub: 5.0ms (8.7% of total)
ival-mult: 4.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess184.0ms (2.1%)

Memory
-10.4MiB live, 33.7MiB 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
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify106.0ms (1.2%)

Memory
-23.2MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-384
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 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)

localize58.0ms (0.7%)

Memory
7.0MiB live, 45.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(cos.f64 x)
accuracy12.136195098586423
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
accuracy16.680846086104324
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
19.0ms41×1valid
15.0ms59×2valid
11.0ms137×0valid
7.0ms19×3valid
Compiler

Compiled 40 to 14 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-cos: 18.0ms (42.2% of total)
ival-mult: 16.0ms (37.5% of total)
adjust: 3.0ms (7% of total)
ival-div: 3.0ms (7% of total)
ival-sub: 3.0ms (7% 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
2.7MiB live, 2.7MiB allocated
Counts
4 → 16
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
Calls

3 calls:

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

simplify221.0ms (2.6%)

Memory
25.1MiB live, 101.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
1105153
2258153
3609153
41292153
52005153
62548153
73421153
84978153
96603153
107491153
117702153
127720153
137722153
08142135
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 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 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite231.0ms (2.7%)

Memory
6.8MiB live, 239.3MiB 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 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #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)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (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 (/.f64 (pow.f64 (sin.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 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (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 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (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)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))))
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(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 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 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 binary64)))

eval74.0ms (0.9%)

Memory
-2.9MiB live, 149.9MiB allocated
Compiler

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

prune22.0ms (0.3%)

Memory
-26.6MiB live, 58.8MiB 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
28.2%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
54.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
80.0%
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))
54.5%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
17.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
53.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
53.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
80.4%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
54.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
53.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
12.9%
(-.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))))
17.1%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
54.6%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
80.4%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
13.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
48.7%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 456 to 272 computations (40.4% saved)

simplify309.0ms (3.6%)

Memory
7.2MiB live, 120.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff1088
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
cost-diff0
(neg.f64 x)
cost-diff256
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
cost-diff1024
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff6208
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) 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-diff320
(/.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
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(sin.f64 x)
cost-diff384
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032158
052149
198146
2272131
31323131
43399131
54841131
65747131
76417131
87157131
08186131
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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

localize165.0ms (1.9%)

Memory
22.2MiB live, 227.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.5914073695366782
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy12.136195098586423
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
accuracy16.680846086104324
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.125
(/.f64 (cos.f64 x) x)
accuracy11.53477906853945
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
accuracy24.365726217213385
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy27.14012285501909
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy0.0
(cos.f64 x)
accuracy0.4196686439376578
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
accuracy12.09241940175646
(/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy16.680846086104324
(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy32.84646916718113
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0.0
(sin.f64 x)
accuracy0.00390625
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.20378876953688402
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy12.007724371728395
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
53.0ms137×0valid
36.0ms59×2valid
16.0ms19×3valid
15.0ms41×1valid
Compiler

Compiled 316 to 63 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 20.0ms (23.2% of total)
ival-cos: 20.0ms (23.2% of total)
ival-mult: 11.0ms (12.8% of total)
adjust: 8.0ms (9.3% of total)
ival-tan: 8.0ms (9.3% of total)
ival-sin: 8.0ms (9.3% of total)
ival-sub: 7.0ms (8.1% of total)
ival-pow: 3.0ms (3.5% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-20.1MiB live, 18.3MiB allocated
Counts
18 → 59
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sin.f64 x) (*.f64 x 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)))
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)
(* 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))))))))
-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 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* 1/2 (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)))
(/ 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)
(/ (+ 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)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 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 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(- 1 (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (cos x) x)
(* -1 (* x (- 1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x))
4.0ms
x
@-inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x))
2.0ms
x
@0
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ -1 (/ (* x x) (- (cos x) 1))) (/ (* x x) (- (cos x) 1)) (- (cos x) 1) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (- 1 (cos x)) (/ 1 (pow x -2))) (- 1 (cos x)) (cos x) (/ 1 (pow x -2)) (/ (sin x) (* x x)) (/ (cos x) x))

simplify181.0ms (2.1%)

Memory
35.5MiB live, 148.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143623
1358617
2909609
32803609
43907609
56530609
08223546
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))))
(pow x 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))))))))
-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 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* 1/2 (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)))
(/ 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)
(/ (+ 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)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 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 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(- 1 (cos x))
(cos x)
(/ (sin x) (pow x 2))
(/ (cos x) x)
(* -1 (* x (- 1 (cos x))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (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)
(pow x 2)
(*.f64 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)
-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 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(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)) (neg.f64 x))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (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 #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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1 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)
(/ (+ 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)
(/ (* (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)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (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 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)

rewrite179.0ms (2.1%)

Memory
-12.4MiB live, 224.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032125
052114
1190107
21321106
08718106
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 388
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) x)
Outputs
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.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 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) 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 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) 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 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))))
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(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (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 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)))

eval106.0ms (1.2%)

Memory
3.1MiB live, 187.8MiB allocated
Compiler

Compiled 20 315 to 2 668 computations (86.9% saved)

prune62.0ms (0.7%)

Memory
6.1MiB live, 100.2MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New93610946
Fresh2911
Picked145
Done011
Total93924963
Accuracy
100.0%
Counts
963 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
18.0%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
28.2%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
54.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
54.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
54.5%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
17.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
42.4%
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
53.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
53.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
80.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
99.2%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
42.4%
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
54.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
53.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
76.3%
(/.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))))
12.9%
(-.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))))
17.1%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
54.6%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
80.4%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
13.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
48.7%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 651 to 389 computations (40.2% saved)

simplify86.0ms (1%)

Memory
-18.4MiB live, 57.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1024
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff1024
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
cost-diff6336
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff6400
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(neg.f64 (/.f64 (cos.f64 x) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
cost-diff832
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff0
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
cost-diff-384
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (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
032207
058189
1114178
2348168
31802161
43511160
56084160
67547160
08009160
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)
(/.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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.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 (/.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)
(/.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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.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 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (cos.f64 x) x) x)
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) (cos.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)

localize153.0ms (1.8%)

Memory
14.0MiB live, 166.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.847257234687918
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy11.885956108245836
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy27.14012285501909
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy29.075167839185028
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
accuracy0.0
(cos.f64 x)
accuracy0.05859375
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
accuracy0.125
(/.f64 (cos.f64 x) x)
accuracy28.851757533804708
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
accuracy0.16015625
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
accuracy0.4196686439376578
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
accuracy11.713213025006613
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy16.680846086104324
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.0
(*.f64 x x)
accuracy12.136195098586423
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy16.680846086104324
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy30.272154117472535
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.00390625
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.078125
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
accuracy0.11328125
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy0.140625
(/.f64 (sin.f64 x) x)
Samples
51.0ms46×2valid
42.0ms137×0valid
33.0ms73×1valid
Compiler

Compiled 410 to 63 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-cos: 30.0ms (29.7% of total)
ival-div: 25.0ms (24.7% of total)
ival-mult: 14.0ms (13.8% of total)
ival-sin: 8.0ms (7.9% of total)
adjust: 6.0ms (5.9% of total)
ival-neg: 6.0ms (5.9% of total)
ival-sub: 6.0ms (5.9% of total)
ival-tan: 5.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
23 → 73
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)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (cos.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
(+ 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)))))))
(* 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 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
2
(+ 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)))))))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(/ 1 (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))) (pow x 2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* 1/2 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 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)
(/ (* (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))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ (- (cos x) 1) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (cos x) x))
(/ (cos x) (pow x 2))
(* -1 (* x (cos x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (cos x) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (/ (sin x) x) (/ (tan (* 1/2 x)) x)) (/ (sin x) x) (sin x) (/ (tan (* 1/2 x)) x) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos 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)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos 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)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (/ x (- 1 (cos x))) (- 1 (cos x)) (- (/ -1 x) (neg (/ (cos x) x))) (/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x)) (/ -1 x) (neg (/ (cos x) x)) (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (neg x) x) (/ (cos x) x)) (tan (* 1/2 x)) (/ (cos x) x) (cos x))

simplify197.0ms (2.3%)

Memory
6.5MiB live, 154.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151764
1382764
2931752
32805746
45309746
57221742
08072663
Stop Event
iter limit
node limit
Counts
73 → 72
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)))))))
(* 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 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
2
(+ 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)))))))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(/ 1 (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))) (pow x 2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* 1/2 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 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)
(/ (* (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))
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ (- (cos x) 1) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (cos x) x))
(/ (cos x) (pow x 2))
(* -1 (* x (cos x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (cos x) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (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))
(* 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 (* -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)
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))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(/.f64 (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)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (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)) x)
(* x (- (* (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)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(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)) x (/.f64 #s(literal -1 binary64) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (/.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) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (/.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) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(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)) (neg.f64 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 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)
(/ (* (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))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 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) x)
(/.f64 (cos.f64 x) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite233.0ms (2.7%)

Memory
-5.2MiB live, 243.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032173
058164
1231141
22175135
08711135
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 092
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)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
Outputs
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (*.f64 x (/.f64 x (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) 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 -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x)))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) 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)) (sin.f64 x)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (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 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (*.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) 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) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 x) x) x))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (neg.f64 x))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (/.f64 (cos.f64 x) x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (/.f64 (cos.f64 x) x)))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 (/.f64 (cos.f64 x) x) x))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 x (/.f64 (cos.f64 x) x)))) (/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 x (/.f64 (cos.f64 x) x)))))
(-.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) x)) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x (*.f64 (/.f64 (cos.f64 x) x) x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (/.f64 (cos.f64 x) x)))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (/.f64 (cos.f64 x) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 x (*.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (*.f64 x (pow.f64 x #s(literal -3 binary64))))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (*.f64 x (pow.f64 x #s(literal -3 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (fma.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)) (*.f64 x (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (cos.f64 x) x) x)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (/.f64 (cos.f64 x) x) x))
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)) (*.f64 x (pow.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) x)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (/.f64 (cos.f64 x) x) x))
(*.f64 (/.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (/.f64 (cos.f64 x) x) x)))
(*.f64 (cos.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 x (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x)))
(pow.f64 (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))) x)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) x)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 x (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (/.f64 x (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) x)
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 x (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
(neg.f64 (*.f64 x (*.f64 (/.f64 (cos.f64 x) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x))) (/.f64 (*.f64 x x) (/.f64 x (cos.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (cos.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))

eval170.0ms (2%)

Memory
5.4MiB live, 157.4MiB allocated
Compiler

Compiled 23 081 to 3 190 computations (86.2% saved)

prune101.0ms (1.2%)

Memory
-8.0MiB live, 66.8MiB allocated
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New1 071111 082
Fresh41014
Picked235
Done145
Total1 078281 106
Accuracy
100.0%
Counts
1 106 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
18.0%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
54.6%
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
28.2%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
53.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
54.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
54.6%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
54.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
54.6%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
54.5%
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
42.4%
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
53.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
53.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
99.2%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
42.4%
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
53.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))))
54.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
76.1%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
76.3%
(/.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))))
53.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
43.3%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
43.3%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x))))
54.6%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
13.3%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal -4 binary64)))
80.3%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
48.7%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 705 to 454 computations (35.6% saved)

simplify190.0ms (2.2%)

Memory
-10.7MiB live, 73.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
cost-diff1472
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
cost-diff6592
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
cost-diff512
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
cost-diff832
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
cost-diff0
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))
cost-diff0
(neg.f64 x)
cost-diff0
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
cost-diff256
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(/.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))))
cost-diff0
(*.f64 x (/.f64 x (sin.f64 x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040255
067243
1127243
2318212
31276206
43314206
54970206
67978206
08211206
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(sin.f64 x)
(/.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))))
#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)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
(neg.f64 x)
x
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))
(*.f64 (neg.f64 (cos.f64 x)) x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
(cos.f64 x)
(neg.f64 x)
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(cos.f64 x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 x (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(/.f64 x (sin.f64 x))
(sin.f64 x)
(/.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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
#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)))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x))) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x))))
(neg.f64 x)
x
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 (cos.f64 x) (neg.f64 x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
(/.f64 (cos.f64 x) (neg.f64 x))
(cos.f64 x)
(neg.f64 x)
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(cos.f64 x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

localize197.0ms (2.3%)

Memory
1.0MiB live, 273.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy0.09994125976844202
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
accuracy24.365726217213385
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy44.37121123588532
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
accuracy0.0
(cos.f64 x)
accuracy0.05859375
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
accuracy0.1484375
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
accuracy28.851757533804708
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
accuracy0.0859375
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy0.1171875
(*.f64 (neg.f64 (cos.f64 x)) x)
accuracy11.53477906853945
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
accuracy24.365726217213385
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.11328125
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy0.4196686439376578
(/.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))))
accuracy14.854252486594849
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy0.00390625
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.109375
(*.f64 x (/.f64 x (sin.f64 x)))
accuracy0.15625
(/.f64 x (sin.f64 x))
accuracy0.41804740370609983
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
Samples
57.0ms137×0valid
51.0ms59×2valid
26.0ms19×3valid
23.0ms41×1valid
Compiler

Compiled 483 to 80 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 30.0ms (23.2% of total)
ival-cos: 29.0ms (22.4% of total)
ival-div: 23.0ms (17.8% of total)
adjust: 12.0ms (9.3% of total)
ival-add: 9.0ms (7% of total)
ival-sub: 7.0ms (5.4% of total)
ival-tan: 7.0ms (5.4% of total)
ival-sin: 5.0ms (3.9% of total)
const: 4.0ms (3.1% of total)
ival-neg: 3.0ms (2.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
24 → 64
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.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))))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
(neg.f64 x)
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(/.f64 x (sin.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 (*.f64 (neg.f64 x) 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)))
(* 1/2 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))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (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)))))))
(pow x 2)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -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))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(* -1 (pow x 3))
(+ 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)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (pow x 2) (sin x))
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (cos x)))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (cos x) x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* x (- (cos x) 1))
(* -1 (* (pow x 2) (cos x)))
(/ x (sin x))
(cos x)
(* -1 (* x (- 1 (cos x))))
(* -1 (/ (- 1 (cos x)) x))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x))
5.0ms
x
@-inf
((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x))
3.0ms
x
@0
((/ (tan (* 1/2 x)) (* x (/ x (sin x)))) (tan (* 1/2 x)) (* 1/2 x) (* x (/ x (sin x))) (/ 1 (* (/ x (- 1 (cos x))) x)) (* (/ x (- 1 (cos x))) x) (+ (* 1/6 (* x x)) 2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (* (* (neg x) x) (/ (cos x) x)) (- (/ -1 x) (* (/ -1 x) (cos x))) (/ (- (/ -1 x) (* (/ -1 x) (cos x))) (neg x)) (* (/ -1 x) (cos x)) (/ -1 x) (/ (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) x)) (+ (* (* (* (neg x) x) (cos x)) (/ -1 x)) (neg x)) (* (* (neg x) x) (cos x)) (* (neg x) x) (/ x (sin x)) (* (neg (cos x)) x) (* (* (neg x) x) x) (cos x))

simplify160.0ms (1.8%)

Memory
-8.1MiB live, 183.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158647
1433641
21131624
33419618
44967618
57594618
08113557
Stop Event
iter limit
node limit
Counts
64 → 63
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (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)))))))
(pow x 2)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -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))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(* -1 (pow x 3))
(+ 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)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (pow x 2) (sin x))
(/ (- 1 (cos x)) (pow x 2))
(/ (pow x 2) (- 1 (cos x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (cos x)))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (cos x) x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* x (- (cos x) 1))
(* -1 (* (pow x 2) (cos x)))
(/ x (sin x))
(cos x)
(* -1 (* x (- 1 (cos x))))
(* -1 (/ (- 1 (cos x)) 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 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)
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) (+ 1/6 (* 7/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 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) (+ 1/6 (* 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))
(pow x 2)
(*.f64 x x)
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (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 3 binary64)))
(* (pow x 3) (- (* (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 3 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(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)) (neg.f64 x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (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)) x)
(* x (- (* (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)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(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)) x (/.f64 #s(literal -1 binary64) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x)) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(*.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)) (neg.f64 x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (pow x 2) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (pow x 2) (- 1 (cos x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (cos x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) (cos x)))
(*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)

rewrite177.0ms (2%)

Memory
23.7MiB live, 212.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040218
067206
1246196
21769175
08501175
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 137
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.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))))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x)))
(neg.f64 x)
#s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(/.f64 x (sin.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(cos.f64 x)
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (neg.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sin.f64 x)) x))
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(cos.f64 (neg.f64 x))
(cos.f64 x)
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eval161.0ms (1.9%)

Memory
11.7MiB live, 250.3MiB allocated
Compiler

Compiled 31 155 to 3 557 computations (88.6% saved)

prune48.0ms (0.6%)

Memory
-5.8MiB live, 109.6MiB allocated
Pruning

36 alts after pruning (25 fresh and 11 done)

PrunedKeptTotal
New1 194141 208
Fresh51116
Picked055
Done167
Total1 200361 236
Accuracy
100.0%
Counts
1 236 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
54.6%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
18.0%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
17.2%
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
17.4%
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
17.3%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x))
53.5%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
53.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x))
28.2%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
53.3%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
54.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
54.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
54.6%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
54.6%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
54.5%
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
42.4%
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
53.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
99.2%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
42.4%
(/.f64 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
53.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))))
54.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
76.1%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
76.3%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
76.3%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
76.3%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
76.3%
(/.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))))
31.7%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
53.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
43.3%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
43.3%
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x))))
53.4%
(*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
54.6%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
80.3%
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
48.7%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 370 to 559 computations (59.2% saved)

regimes32.0ms (0.4%)

Memory
3.4MiB live, 49.6MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) 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 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 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 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.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 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
Calls

2 calls:

15.0ms
(/.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)

regimes27.0ms (0.3%)

Memory
7.2MiB live, 45.5MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) 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 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 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 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x)) (neg.f64 x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (*.f64 (neg.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 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
Calls

2 calls:

13.0ms
x
12.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%2x
99.1%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory
-23.2MiB live, 15.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) 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 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.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 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) 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 #s(approx (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) #s(approx (* (* (neg x) x) (/ (cos x) x)) (*.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #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
99.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
76.3%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
76.3%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
-31.8MiB live, 6.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#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))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 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
76.3%2x
51.8%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#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))
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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
73.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
48.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
48.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch15.0ms (0.2%)

Memory
19.6MiB live, 19.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6.713242363508151e-13
65.89926140972254
Samples
8.0ms160×0valid
Compiler

Compiled 241 to 190 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (42.1% of total)
ival-sub: 1.0ms (21.1% of total)
ival-div: 1.0ms (21.1% of total)
ival-mult: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
-29.7MiB live, 10.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
6.713242363508151e-13
65.89926140972254
Samples
4.0ms80×0valid
Compiler

Compiled 241 to 190 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 1.0ms (42.7% of total)
ival-mult: 1.0ms (42.7% of total)
ival-sub: 0.0ms (0% 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)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.713242363508151e-13
65.89926140972254
Compiler

Compiled 191 to 170 computations (11% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.713242363508151e-13
65.89926140972254
Compiler

Compiled 191 to 170 computations (11% saved)

bsearch15.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6.713242363508151e-13
65.89926140972254
Samples
9.0ms128×0valid
Compiler

Compiled 351 to 290 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (61.1% of total)
ival-sub: 1.0ms (15.3% of total)
ival-div: 1.0ms (15.3% of total)
ival-mult: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-19.0MiB live, 18.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
4.0818525884518865e+73
7.024455254485067e+78
Samples
14.0ms144×0valid
Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 9.0ms (77.7% of total)
ival-sub: 1.0ms (8.6% of total)
ival-div: 1.0ms (8.6% of total)
ival-mult: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify86.0ms (1%)

Memory
7.5MiB live, 45.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
063198
1101198
2147198
3200198
4295198
5464198
6868198
72732197
86328197
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 33000000000000000588821611809486331116969429241262320008797945195488522272768 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 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) (neg.f64 x)))
(if (<=.f64 x #s(literal 6640827866535439/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #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 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 33000000000000000588821611809486331116969429241262320008797945195488522272768 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))

soundness2.3s (26.3%)

Memory
-14.6MiB live, 1 030.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032125
052114
1190107
21321106
08718106
0143623
1358617
2909609
32803609
43907609
56530609
08223546
032173
058164
1231141
22175135
08711135
0151764
1382764
2931752
32805746
45309746
57221742
08072663
0158647
1433641
21131624
33419618
44967618
57594618
08113557
042153
1105153
2258153
3609153
41292153
52005153
62548153
73421153
84978153
96603153
107491153
117702153
127720153
137722153
08142135
0617
01017
14017
227017
3284317
0991517
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 322 to 153 computations (52.5% saved)

preprocess53.0ms (0.6%)

Memory
1.0MiB live, 86.2MiB allocated
Remove

(abs x)

Compiler

Compiled 432 to 160 computations (63% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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